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Finding the Third Proportional to 510,561 and 715,467

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Solution

The third proportional to 510,561 and 715,467 is: 1,002,608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,561 : 715,467 = 715,467 : x
  2. Step 2: Convert to fraction form
    510,561/715,467 = 715,467/x
  3. Step 3: Cross multiply
    510,561x = 715,467 × 715,467
  4. Step 4: Simplify right side
    510,561x = 511,893,028,089
  5. Step 5: Solve for x
    x = 511,893,028,089/510,561
  6. Step 6: Final answer
    x = 1,002,608.95

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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.