Question

If p, q and r are in continued proportion, then:

Options

• p : q = p : r

• q : r = p² : q²

• p : q² = r : p²

• p : r = p² : q²

Answer 1

p : r = p² : q²

Explanation:

If p, q, r are in continued proportion then p : q = q : r, so q² = pr. 

Hence, `p^2 : q^2 = p^2/q^2` 

= `p^2/(pr)` 

= `p/r` 

So, p : r = p² : q².