Question

:) If x, 9, y, 16 are in continued proportion, then
find the value of x and y.
​

Answer 1

9y=16x

9/16=x/y

x=3,y=4

Answer 2

Answer:

Given ,

• x, 9, y, 16 are in continued proportion.

$\bold{→ x : \: 9 \: : : \: y : 16}$

$\bold{→ x : \: 9 \: = \: y : 16}$

$\bold{→ \frac{x}{9} = \: \frac{y}{16} }$

$\bold{→ \frac{x}{y} = \: \frac{9}{16} }$

So,

$\boxed{x = 9}$

$\boxed{y \: = 16}$