Square–cube joint variation

If the square of $x$ varies as the cube of $y$ , and $x = 3$ when $y = 4$ , find $y$ when $x = \frac{1}{3}$ .

~3 minAnswer checked instantlyjoint variationpowers

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. III. Variation, Examples III, No. 3

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).