Maharashtra BoardEnglish MediumSTD 6MathsRatio, Proportion and Unitary Method1 Mark
Question
Fill in the blanks:
Mean proportion of 2 and 8 is ......
✓
Answer
Mean proportion of 2 and 8 is 4.
Let the mean proportion of 2 and 8 be x.
Then,
2 : x : : x : 8
$\Rightarrow\frac{2}{\text{x}}=\frac{\text{x}}{8}$
$\Rightarrow2\times8=\text{x}\times\text{x}$
$\Rightarrow16=\text{x}\times\text{x}$
$\Rightarrow4\times4=\text{x}\times\text{x}$
$\Rightarrow4=\text{x}$
Hence, mean proportion of 2 and 8 is 4
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