Find the Missing Value of Proportion

Name Grade School
Date Questions10 Score

1
Find the value of x in the proportion
21:6 = x:12
2
Find the value of x in the proportion
16:23 = 128: x
3
Find the value of x in the proportion
x :6 = 45:54
4
Find the value of x in the proportion
20:11 = x:66
5
Find the value of x in the proportion
2:7 = x:35
6
Find the value of x in the proportion
25:13 = 225: x
7
Find the value of x in the proportion
3:22 = 24: x
8
Find the value of x in the proportion
7: x = 14:48
9
Find the value of x in the proportion
16:5 = 48: x
10
Find the value of x in the proportion
2: x = 18:63

Answers Key
Show All Workout
1
Find the value of x in the proportion
21:6 = 42:12
step 1
Write the given ratios in fraction form
21:6 =
216
y:6 =
y12
step 2
Find the Means & Extremes
216
=
y12
21 x 12 = y x 6
Extremes = 21, 12
Means = 6, y
step 3
Rearrange the statement to find y
y =
21 x 126
y = 42
step 4
The missing term in the proportion is 42
Therefore the proportion is 21:6 = 42:12
2
Find the value of x in the proportion
16:23 = 128:184
step 1
Write the given ratios in fraction form
16:23 =
1623
128:y =
128y
step 2
Find the Means & Extremes
1623
=
128y
16 x y = 128 x 23
Extremes = 16, y
Means = 128, 23
step 3
Rearrange the statement to find y
y =
128 x 2316
y = 184
step 4
The missing term in the proportion is 184
Therefore the proportion is 16:23 = 128:184
3
Find the value of x in the proportion
5:6 = 45:54
step 1
Write the given ratios in fraction form
y:6 =
y6
45:54 =
4554
step 2
Find the Means & Extremes
y6
=
4554
x 54 = 45 x 6
Extremes = 54, y
Means = 45, 6
step 3
Rearrange the statement to find y
y =
45 x 654
y = 5
step 4
The missing term in the proportion is 5
Therefore the proportion is 5:6 = 45:54
4
Find the value of x in the proportion
20:11 = 120:66
step 1
Write the given ratios in fraction form
20:11 =
2011
y:11 =
y66
step 2
Find the Means & Extremes
2011
=
y66
20 x 66 = y x 11
Extremes = 20, 66
Means = 11, y
step 3
Rearrange the statement to find y
y =
20 x 6611
y = 120
step 4
The missing term in the proportion is 120
Therefore the proportion is 20:11 = 120:66
5
Find the value of x in the proportion
2:7 = 10:35
step 1
Write the given ratios in fraction form
2:7 =
27
y:7 =
y35
step 2
Find the Means & Extremes
27
=
y35
2 x 35 = y x 7
Extremes = 2, 35
Means = 7, y
step 3
Rearrange the statement to find y
y =
2 x 357
y = 10
step 4
The missing term in the proportion is 10
Therefore the proportion is 2:7 = 10:35
6
Find the value of x in the proportion
25:13 = 225:117
step 1
Write the given ratios in fraction form
25:13 =
2513
225:y =
225y
step 2
Find the Means & Extremes
2513
=
225y
25 x y = 225 x 13
Extremes = 25, y
Means = 225, 13
step 3
Rearrange the statement to find y
y =
225 x 1325
y = 117
step 4
The missing term in the proportion is 117
Therefore the proportion is 25:13 = 225:117
7
Find the value of x in the proportion
3:22 = 24:176
step 1
Write the given ratios in fraction form
3:22 =
322
24:y =
24y
step 2
Find the Means & Extremes
322
=
24y
3 x y = 24 x 22
Extremes = 3, y
Means = 24, 22
step 3
Rearrange the statement to find y
y =
24 x 223
y = 176
step 4
The missing term in the proportion is 176
Therefore the proportion is 3:22 = 24:176
8
Find the value of x in the proportion
7: 24 = 14:48
step 1
Write the given ratios in fraction form
7:y =
7y
14:48 =
1448
step 2
Find the Means & Extremes
7y
=
1448
7 x 48 = 14 x y
Extremes = 7, 48
Means = 14, y
step 3
Rearrange the statement to find y
y =
7 x 4814
y = 24
step 4
The missing term in the proportion is 24
Therefore the proportion is 7: 24 = 14:48
9
Find the value of x in the proportion
16:5 = 48:15
step 1
Write the given ratios in fraction form
16:5 =
165
48:y =
48y
step 2
Find the Means & Extremes
165
=
48y
16 x y = 48 x 5
Extremes = 16, y
Means = 48, 5
step 3
Rearrange the statement to find y
y =
48 x 516
y = 15
step 4
The missing term in the proportion is 15
Therefore the proportion is 16:5 = 48:15
10
Find the value of x in the proportion
2: 7 = 18:63
step 1
Write the given ratios in fraction form
2:y =
2y
18:63 =
1863
step 2
Find the Means & Extremes
2y
=
1863
2 x 63 = 18 x y
Extremes = 2, 63
Means = 18, y
step 3
Rearrange the statement to find y
y =
2 x 6318
y = 7
step 4
The missing term in the proportion is 7
Therefore the proportion is 2: 7 = 18:63

Find the Missing Number in the Proportion Worksheet

Find the missing number in a proportion 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 find the missing values (mean or extreme) in the given proportions.

How to Use this Worksheet

In this sixth grade ratio & proportion worksheet, students are required to find the missing value of two ratios in proportion. Apply the law of proportion to find the missing number. The law of proportion states that the product of means is always equal to the product of extremes if two ratios are in equivalent, direct variation or proportion. If the ratio A is to B and C is to D is proportional
A : B = C : D
A : B :: C : D
A/B = C/D
A x D = C x B
The product of MEANS = The product of EXTREMES

Find the Missing Term in the Proportion
To find ATo find BTo find CTo find D
A = C x B/DB = A x D/CC = A x D/BD = C x B/A

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 the missing value in a proportion.

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