if we have the following ratio 17/30 and multiply both terms by 2, we obtain 34/60
![(17)/(30)=(17\cdot2)/(30\cdot2)=(34)/(60)](https://img.qammunity.org/2023/formulas/mathematics/college/g0x5csj07ns0hyuic2s3azfc0yg83u49l4.png)
on the other hand, if we have the ratio 3.4/6 and then we multiply the terms by 10, we also obtain 34/60
![(3.4)/(6)=(3.4\cdot10)/(6\cdot10)=(34)/(60)](https://img.qammunity.org/2023/formulas/mathematics/college/9yv1ksktjxdcjys4sh3vfutlodfijludmh.png)
in that way, we can see that both ratios, 17/30 and 3.4/6 are proportional
![(17)/(30)=(3.4)/(6)](https://img.qammunity.org/2023/formulas/mathematics/college/50yueir3eot4fcrf9pewqtwjxofzgfxbmu.png)