Tag: composition of ratios

The subtriplicate ratio of $a : b$ is $\sqrt [3]{a} : \sqrt [3]{b}$.
$\therefore$ The subtriplicate ratio of $216 : 1331$ is $\sqrt [3]{216} : \sqrt [3]{1331} = \sqrt [3]{(6)^{3}} : \sqrt [3]{(11)^{3}}$
$= 6 : 11$

The subtriplicate ratio of $a : b$ is $\sqrt [3]{a} : \sqrt [3]{b}$
$\therefore$ The subtriplicate ratio of $2 : 3$ is $\sqrt [3]{2} : \sqrt [3]{3}$.

The reciprocal ratio of $a : b$ is $b : a$
$\therefore$ reciprocal ratio of $2 : 3$ is $3 : 2$

The reciprocal ratio of $a : b$ is $b : a$
$\therefore$ reciprocal ratio of $9x^{2} : 11x^{2}$ is $11x^{2} : 9x^{2}$

The reciprocal ratio of a:ba:b.

The reciprocal ratio of $a : b$ is $b : a$
$\therefore$ reciprocal ratio of $121x^{3} : 25x^{3}$ is $25x^{3} : 121x^{3}$

The reciprocal ratio of $a : b$ is $b : a$
$\therefore$ reciprocal ratio of $81 : 121$ is $121 : 81$.

The reciprocal ratio of $a : b$ is $b : a$
$\therefore$ reciprocal ratio of $8 : 15$ is $15 : 8$

The reciprocal ratio of $a : b$ is $b : a$
$\therefore$ reciprocal ratio of $(x - 5) : (x - 7)$ is $(x - 7) : (x - 5)$

The reciprocal ratio of $a : b$ is $b : a$
$\therefore$ reciprocal ratio of $(x + 12) : (x + 21)$ is $(x + 21) : (x + 12)$