Question
Find the third proportional to $2 \frac{2}{3}$ and 4
✓
Answer
Let the third proportional to $2 \frac{2}{3}$ and 4 be $x$
$=>2 \frac{2}{3}, 4, x$ are in continued proportion.
$\Rightarrow 2 \frac{2}{3}: 4=4: x$
$\Rightarrow \frac{\frac{8}{3}}{4}=\frac{4}{x}$
$\Rightarrow x=16 x \frac{3}{8}=6$
$=>2 \frac{2}{3}, 4, x$ are in continued proportion.
$\Rightarrow 2 \frac{2}{3}: 4=4: x$
$\Rightarrow \frac{\frac{8}{3}}{4}=\frac{4}{x}$
$\Rightarrow x=16 x \frac{3}{8}=6$
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