Finding the Third Proportional to 509 and 573
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Solution
The third proportional to 509 and 573 is: 645.05
Step by Step Solution
- Step 1: Write the proportion equation
509 : 573 = 573 : x - Step 2: Convert to fraction form
509/573 = 573/x - Step 3: Cross multiply
509x = 573 × 573 - Step 4: Simplify right side
509x = 328,329 - Step 5: Solve for x
x = 328,329/509 - Step 6: Final answer
x = 645.05
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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.