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 $4$
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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