1

Problem

Find the Mean proportional between 9 and 16.

2

Step

Given mean Proportion

9,16

3

Formula

Mean Proportional Formula: \$\sqrt (a \times b)\$.

4

Step

First, multiply a & b:

\$\sqrt(9 \times 16) = \sqrt(144)\$

5

Step

The square root of the resulting term to get the mean proportional:

\$\sqrt(144)\$ = 12

6

Solution

The final simplified solution is 12.

7

Sumup

Please summarize steps

Choices

8

Choice-A

14 is incorrect; the mean proportional isn’t the average but the square root of the product

Wrong 14

9

Choice-B

Incorrect.The mean proportional isn’t the average but the square root of the product

Wrong 15

10

Choice-C

This option is correct. It represents the mean proportional between 9 and 16

Correct 12

11

Choice-D

8 is incorrect. The mean proportional is the square root of the product, not half

Wrong 8

12

Answer

Option

C

13

Sumup

Please summarize choices