Question
Find the third proportional to: $12$ and $18$
✓
Answer
Let $x$ be the third proportional,
then $12 : 18 : : 18 : \text{x}$
$\Rightarrow12\times\text{x}=18\times18$
$\Rightarrow\text{x}=\frac{18\times18}{12}=\frac{3\times18}{2}=3\times9=27$
$\therefore$ Third proportional $= 27$
then $12 : 18 : : 18 : \text{x}$
$\Rightarrow12\times\text{x}=18\times18$
$\Rightarrow\text{x}=\frac{18\times18}{12}=\frac{3\times18}{2}=3\times9=27$
$\therefore$ Third proportional $= 27$
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