Final answer:
To determine if the ratios 7/35 and 35/70 are proportional, they can be simplified, converted to decimals, or tested with cross multiplication. All three methods show that the ratios are not proportional.
Step-by-step explanation:
The subject of this question is determining whether two ratios are proportional, which falls within the field of Mathematics.
When comparing the ratios 7/35 and 35/70 to assess if they are proportional, one method is to simplify both sides of the equation. Simplifying 7/35 gives 1/5 and simplifying 35/70 gives 1/2. Since the simplified ratios are not equal, they are not proportional.
Another method is to convert both ratios to decimals. The decimal form of 7/35 is approximately 0.2 and for 35/70 it is 0.5. Since 0.2 does not equal 0.5, the ratios are not proportional.
Lastly, we can cross multiply to check for proportionality. Multiplying 7 by 70 should equal 35 multiplied by 35 if the ratios are proportional. Here, 7 * 70 is 490, and 35 * 35 is 1225. Since 490 does not equal 1225, they are not proportional.
To sum up, the two ratios given are not proportional as demonstrated by simplification, decimal conversion, and cross multiplication.