Determine If the Ratios are in Proportion or Equivalent

Name Grade School
Date Questions10 Score

1
Determine if the ratios 19:17 and 76:68 are in proportion
2
Determine if the ratios 18:25 and 36:50 are in proportion
3
Determine if the ratios 2:10 and 12:60 are in proportion
4
Determine if the ratios 9:18 and 81:162 are in proportion
5
Determine if the ratios 23:7 and 46:14 are in proportion
6
Determine if the ratios 3:2 and 18:12 are in proportion
7
Determine if the ratios 21:17 and 147:119 are in proportion
8
Determine if the ratios 16:19 and 64:76 are in proportion
9
Determine if the ratios 5:2 and 30:12 are in proportion
10
Determine if the ratios 25:14 and 200:112 are in proportion

Answers Key
Show All Workout
1
Determine if the ratios 19:17 and 76:68 are in proportion
The ratios 19:17 and 76:68 are in proportion
step 1
Write the given ratios in fraction form
19:17 =
1917
76:68 =
7668
step 2
Find product of extremes & product of means
1917
=
7668
19 x 68 = 76 x 17
Extremes = 19, 68
Means = 76, 17
step 3
Find the product of Extremes & the product of Means
Product of extremes
19 x 68 = 1292
Product of means
76 x 17 = 1292
step 4
Check if the product of extremes & product of means is equal
Product of Extremes = Product of Means
1292 = 1292
The product of extremes & product of means is equal
step 5
Write the statement
Since the product of extremes & product of means is equal
The given ratios 19:17 and 76:68 are in proportion
2
Determine if the ratios 18:25 and 36:50 are in proportion
The ratios 18:25 and 36:50 are in proportion
step 1
Write the given ratios in fraction form
18:25 =
1825
36:50 =
3650
step 2
Find product of extremes & product of means
1825
=
3650
18 x 50 = 36 x 25
Extremes = 18, 50
Means = 36, 25
step 3
Find the product of Extremes & the product of Means
Product of extremes
18 x 50 = 900
Product of means
36 x 25 = 900
step 4
Check if the product of extremes & product of means is equal
Product of Extremes = Product of Means
900 = 900
The product of extremes & product of means is equal
step 5
Write the statement
Since the product of extremes & product of means is equal
The given ratios 18:25 and 36:50 are in proportion
3
Determine if the ratios 2:10 and 12:60 are in proportion
The ratios 2:10 and 12:60 are in proportion
step 1
Write the given ratios in fraction form
2:10 =
210
12:60 =
1260
step 2
Find product of extremes & product of means
210
=
1260
2 x 60 = 12 x 10
Extremes = 2, 60
Means = 12, 10
step 3
Find the product of Extremes & the product of Means
Product of extremes
2 x 60 = 120
Product of means
12 x 10 = 120
step 4
Check if the product of extremes & product of means is equal
Product of Extremes = Product of Means
120 = 120
The product of extremes & product of means is equal
step 5
Write the statement
Since the product of extremes & product of means is equal
The given ratios 2:10 and 12:60 are in proportion
4
Determine if the ratios 9:18 and 81:162 are in proportion
The ratios 9:18 and 81:162 are in proportion
step 1
Write the given ratios in fraction form
9:18 =
918
81:162 =
81162
step 2
Find product of extremes & product of means
918
=
81162
9 x 162 = 81 x 18
Extremes = 9, 162
Means = 81, 18
step 3
Find the product of Extremes & the product of Means
Product of extremes
9 x 162 = 1458
Product of means
81 x 18 = 1458
step 4
Check if the product of extremes & product of means is equal
Product of Extremes = Product of Means
1458 = 1458
The product of extremes & product of means is equal
step 5
Write the statement
Since the product of extremes & product of means is equal
The given ratios 9:18 and 81:162 are in proportion
5
Determine if the ratios 23:7 and 46:14 are in proportion
The ratios 23:7 and 46:14 are in proportion
step 1
Write the given ratios in fraction form
23:7 =
237
46:14 =
4614
step 2
Find product of extremes & product of means
237
=
4614
23 x 14 = 46 x 7
Extremes = 23, 14
Means = 46, 7
step 3
Find the product of Extremes & the product of Means
Product of extremes
23 x 14 = 322
Product of means
46 x 7 = 322
step 4
Check if the product of extremes & product of means is equal
Product of Extremes = Product of Means
322 = 322
The product of extremes & product of means is equal
step 5
Write the statement
Since the product of extremes & product of means is equal
The given ratios 23:7 and 46:14 are in proportion
6
Determine if the ratios 3:2 and 18:12 are in proportion
The ratios 3:2 and 18:12 are in proportion
step 1
Write the given ratios in fraction form
3:2 =
32
18:12 =
1812
step 2
Find product of extremes & product of means
32
=
1812
3 x 12 = 18 x 2
Extremes = 3, 12
Means = 18, 2
step 3
Find the product of Extremes & the product of Means
Product of extremes
3 x 12 = 36
Product of means
18 x 2 = 36
step 4
Check if the product of extremes & product of means is equal
Product of Extremes = Product of Means
36 = 36
The product of extremes & product of means is equal
step 5
Write the statement
Since the product of extremes & product of means is equal
The given ratios 3:2 and 18:12 are in proportion
7
Determine if the ratios 21:17 and 147:119 are in proportion
The ratios 21:17 and 147:119 are in proportion
step 1
Write the given ratios in fraction form
21:17 =
2117
147:119 =
147119
step 2
Find product of extremes & product of means
2117
=
147119
21 x 119 = 147 x 17
Extremes = 21, 119
Means = 147, 17
step 3
Find the product of Extremes & the product of Means
Product of extremes
21 x 119 = 2499
Product of means
147 x 17 = 2499
step 4
Check if the product of extremes & product of means is equal
Product of Extremes = Product of Means
2499 = 2499
The product of extremes & product of means is equal
step 5
Write the statement
Since the product of extremes & product of means is equal
The given ratios 21:17 and 147:119 are in proportion
8
Determine if the ratios 16:19 and 64:76 are in proportion
The ratios 16:19 and 64:76 are in proportion
step 1
Write the given ratios in fraction form
16:19 =
1619
64:76 =
6476
step 2
Find product of extremes & product of means
1619
=
6476
16 x 76 = 64 x 19
Extremes = 16, 76
Means = 64, 19
step 3
Find the product of Extremes & the product of Means
Product of extremes
16 x 76 = 1216
Product of means
64 x 19 = 1216
step 4
Check if the product of extremes & product of means is equal
Product of Extremes = Product of Means
1216 = 1216
The product of extremes & product of means is equal
step 5
Write the statement
Since the product of extremes & product of means is equal
The given ratios 16:19 and 64:76 are in proportion
9
Determine if the ratios 5:2 and 30:12 are in proportion
The ratios 5:2 and 30:12 are in proportion
step 1
Write the given ratios in fraction form
5:2 =
52
30:12 =
3012
step 2
Find product of extremes & product of means
52
=
3012
5 x 12 = 30 x 2
Extremes = 5, 12
Means = 30, 2
step 3
Find the product of Extremes & the product of Means
Product of extremes
5 x 12 = 60
Product of means
30 x 2 = 60
step 4
Check if the product of extremes & product of means is equal
Product of Extremes = Product of Means
60 = 60
The product of extremes & product of means is equal
step 5
Write the statement
Since the product of extremes & product of means is equal
The given ratios 5:2 and 30:12 are in proportion
10
Determine if the ratios 25:14 and 200:112 are in proportion
The ratios 25:14 and 200:112 are in proportion
step 1
Write the given ratios in fraction form
25:14 =
2514
200:112 =
200112
step 2
Find product of extremes & product of means
2514
=
200112
25 x 112 = 200 x 14
Extremes = 25, 112
Means = 200, 14
step 3
Find the product of Extremes & the product of Means
Product of extremes
25 x 112 = 2800
Product of means
200 x 14 = 2800
step 4
Check if the product of extremes & product of means is equal
Product of Extremes = Product of Means
2800 = 2800
The product of extremes & product of means is equal
step 5
Write the statement
Since the product of extremes & product of means is equal
The given ratios 25:14 and 200:112 are in proportion

Check If the Ratios are Equivalent Worksheet

Determine if the ratios are in proportional worksheet with answers for 6th grade math curriculum is available online for free in printable and downloadable (pdf & image) format. Tap on PRINT, PDF or IMAGE button to print or download this grade-6 ratio & proportion worksheet to practice how to check if the pairs of ratios are in proportion, equivalent or direct variation.

How to Use this Worksheet

In this sixth grade ratio & proportion worksheet, students are required to determine if the given pair of ratios are in proportional, equivalent or direct variation. Apply the law of proportion to check if each pair of ratios are in proportional. The law of proportion states that the product of means is always equal to the product of extremes if two ratios are equivalent or proportional.

Answers Key

Teachers, tutors, parents or students can check or validate the solved questions by using the corresponding answers key which comprises the step by step work on how to find if the given ratios are proportional.

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