Question
Find the third proportional to: $4.5$ and $6$
✓
Answer
Let $x$ be the third proportional, then $4.5 : 6 : : 6 : \text{x}$
$\Rightarrow4.5:6::6:\text{x}$
$\Rightarrow4.5\times\text{x}=6\times6$
$\Rightarrow\text{x}=\frac{6\times6}{4.5}=\frac{6\times6\times10}{45}=\frac{360}{45}=8$
$\therefore$ Third proportional $= 8$
$\Rightarrow4.5:6::6:\text{x}$
$\Rightarrow4.5\times\text{x}=6\times6$
$\Rightarrow\text{x}=\frac{6\times6}{4.5}=\frac{6\times6\times10}{45}=\frac{360}{45}=8$
$\therefore$ Third proportional $= 8$
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