Question

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

Answer 1

Given, numbers $25,35$ and $x$ are in continued proportion.
$\therefore 25:35$=$35:x$...(0.5 marks)
$\Rightarrow 25\times x$ = $35\times 35$...(0.5 marks)
$\because$ (Product of extremes = Product of means)
$\Rightarrow x$=$\frac{35\times 35}{25}=\frac{7\times 5\times 7\times 5}{5\times 5}$...(0.5 marks)
= $7\times 7$
$\therefore x$ = $49$
Hence, the value of $x$ is $49$....(0.5 marks)