1

Problem

Find the third proportion to 10 ,12, 15.

2

Step

Let us take the third proportion is

x

3

Step

We can write the above numbers in the proportional form (a :b::b :c):

10 : 12::x : 15

4

Formula

Hint: \$a/b::c/d\$.

5

Hint

Here a = 10 , b = 12 ,c = x & d = 15.

6

Step

Let us find the x value:

x = \$ (10 \times 15)/(12)\$

x = 12.5

7

Solution

So, the final third proportion is x = 12.5.

8

Sumup

Please summarize steps

Choices

9

Choice-A

Incorrect option. 16 does not satisfy proportionality

Wrong 16

10

Choice-B

This is correct because it is the result of solving the proportion

Correct 12.5

11

Choice-C

Incorrect answer. 14 does not satisfy proportionality

Wrong 1400%

12

Choice-D

Incorrect answer. 12 does not satisfy proportionality

Wrong 1200%

13

Answer

Option

B

14

Sumup

Please summarize choices