Question

Find $x$ if $25,35,x$ are in continued proportion

Answer 1

Since 25,35 and $x$ are in continued proportion then

$25:35::35:x$

$\frac{25}{35}=\frac{35}{x}$

$x=\frac{35\times 35}{25}$

$x=7\times 7$

$x=49$