Answer
False
Work Step by Step
To determine if a proportion is true, we have to find if the cross products are equal.
The cross products of $\frac{a}{b}=\frac{c}{d}$ are $a \cdot d$ and $b \cdot c$.
$\frac{2}{3}*\frac{3}{10} = \frac{1}{5}, \frac{1}{7}*\frac{8}{5} = \frac{8}{35}, \frac{1}{5} \neq \frac{8}{35} \rightarrow$ false