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Solving Ratios: What is $a$?

GMAT-YD6JMN

If the two ratios $ 2b:\cfrac{5a}{3} $ and $ 3a:\cfrac{4}{5b} $ are equivalent, what is the value of $a$?

A

$ \cfrac{1}{\sqrt{5}} $

B

$ \cfrac{2\sqrt{2}}{5} $

C

$ \cfrac{2}{\sqrt{5}} $

D

$ \cfrac{2}{5\sqrt{3}} $

E

$ \cfrac{2\sqrt{6}}{5} $