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