Question

If 9:x::x:25 ,find the value of x. ​

Answer 1

9:x::x:25

=> 9/x = x/25

=> 9 × 25 = x²

=> √ 9 × 25 = x

=> √ 3×3×5×5 = x

=> 3×5 = x

=> 15 = x

So the new ratio is.....

9:15::15:25

Hope you may got it

Please mark it as brainliest plzzzz and like it also

Please follow me don't forget it if you want to have good and unspamed answers

Thank you

Answer 2

Given :

• $\bf{9:x::x:25}$

To Find :

• The value of x.

Solution :

We know that

$\underline{\boxed{\red {\tt{Product \:of \: means = Product \: of \: extremes }}}}$

Substituting the values :

$\implies{ \sf{x \times x = 25 \times 9}}$

$\implies{ \sf{ x^2 = 225}}$

$\implies{ \sf{ x = \sqrt{225}}}$

$\implies{ \sf{ x = \sqrt{3\times 3 \times 5\times 5}}}$

$\implies{ \sf{ x = \sqrt{3^2\times 5^2}}}$

$\implies { \underline{ \boxed{ \bf{ x = 15}}}}$

Hence, the value of x is 15.

Note :

• 225 = 15², so root of 225 = 15.

• x× x = x²