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Finding the Third Proportional to 510,597 and 715,509

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Solution

The third proportional to 510,597 and 715,509 is: 1,002,655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,597 : 715,509 = 715,509 : x
  2. Step 2: Convert to fraction form
    510,597/715,509 = 715,509/x
  3. Step 3: Cross multiply
    510,597x = 715,509 × 715,509
  4. Step 4: Simplify right side
    510,597x = 511,953,129,081
  5. Step 5: Solve for x
    x = 511,953,129,081/510,597
  6. Step 6: Final answer
    x = 1,002,655.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.