Question

If $25,35$ and $x$ are in continued proportion, find the value of $x$

Answer 1

Given
Numbers are $25,35$ ad $x$ are in continued proportion
hence we can find out value of $x$ as below
$25:35=35:x$

$\frac{25}{35}=\frac{35}{x}$
$25\times x=35\times 35$
$x=\frac{35\times 35}{25}$
$x=\frac{1225}{25}$
$x=49$
Therefore the value of $x$ is $49$