Question

find the middle proportion 16 and 9​

Answer 1

Answer:

To answer this question, one should know what is proportion and what is mean proportional.

when four numbers say A,B,C,D are in similar quantities such that A:B= C:D then they are said to be in proportion.

when A,B,C are in continued proportion then B is said to be the mean proportional.

let us take A=9 and C=16 and B as X. then

A:X : : X:C

9:X : : X:16

{x}^{2} = 9 \times 16x

2

=9×16

{x}^{2} = 144x

2

=144

Therefore, x = 12.

So, the mean proportional of 9 and 16 is 12.