Finding the Third Proportional to 462.50 and 509
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Solution
The third proportional to 462.50 and 509 is: 560.18
Step by Step Solution
- Step 1: Write the proportion equation
462.50 : 509 = 509 : x - Step 2: Convert to fraction form
462.50/509 = 509/x - Step 3: Cross multiply
462.50x = 509 × 509 - Step 4: Simplify right side
462.50x = 259,081 - Step 5: Solve for x
x = 259,081/462.50 - Step 6: Final answer
x = 560.18
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.