Question
Show that the following numbers are in continued proportion:
$36, 90, 225$
$36, 90, 225$
✓
Answer
$36, 90, 225$
$\frac{36}{90}=\frac{90}{225}$
$\Rightarrow\frac{36\div6}{90\div6}=\frac{90\div5}{225\div5}$
$\Rightarrow\frac{6}{15}=\frac{18}{45}$
$\Rightarrow\frac{2}{5}=\frac{2}{5}$
$\therefore$ $36, 90, 225$ are in continued proportion.
$\frac{36}{90}=\frac{90}{225}$
$\Rightarrow\frac{36\div6}{90\div6}=\frac{90\div5}{225\div5}$
$\Rightarrow\frac{6}{15}=\frac{18}{45}$
$\Rightarrow\frac{2}{5}=\frac{2}{5}$
$\therefore$ $36, 90, 225$ are in continued proportion.
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