Question

Are the following in proportion?

$25,75,12,36$

Answer 1

Given

$25,75,12,36$

It is written as $25:75::12\hspace{0.17em}:36$

First and last term is called extreme terms, that is $25$ and $36$ and $75$ and $12$ is called middle terms.

product of extreme terms = product of middle terms

$$\begin{gathered} 25\times 36=75\times 12 \\ 900=900 \end{gathered}$$

Hence $25,75,12,36$ are in proportion.