Finding the Third Proportional to 509 and 829
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Solution
The third proportional to 509 and 829 is: 1,350.18
Step by Step Solution
- Step 1: Write the proportion equation
509 : 829 = 829 : x - Step 2: Convert to fraction form
509/829 = 829/x - Step 3: Cross multiply
509x = 829 × 829 - Step 4: Simplify right side
509x = 687,241 - Step 5: Solve for x
x = 687,241/509 - Step 6: Final answer
x = 1,350.18
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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.