So, we will use cross multiplication to show if the ratios have a proportional relationship
![\begin{gathered} (8)/(12)\text{and }(5)/(7) \\ \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/wja7g9wh5gzhzyrugqz7v0irz397ove1m4.png)
12 * 5 = 60
8 * 7 = 56
so, the the rations doesn't have a proportional relationship
b) 24 : 16 and 9 : 6
Write the ratios as fractions
![(24)/(16)and(9)/(6)](https://img.qammunity.org/2023/formulas/mathematics/college/9q6muj4cb1cdrmvknj4cq7ju0oyab2qzqf.png)
So, 24 * 6 = 144
And 16 * 9 = 144
so, the ratios have a proportional relationship