If \(p:q=7:3\) and \(q:r=3:5\), find the ratio \(p:q:r\).

We can see that

\(\begin{aligned} p:q&=7:\color{red}{3} \\\\q:r&={\color{red}{3}}:5. \end{aligned}\)

Thus, the ratio of \(p:q:r\) is \(7:3:5.\)