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Finding the Third Proportional to 381,997.13 and 516,943.13

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Solution

The third proportional to 381,997.13 and 516,943.13 is: 699,560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,997.13 : 516,943.13 = 516,943.13 : x
  2. Step 2: Convert to fraction form
    381,997.13/516,943.13 = 516,943.13/x
  3. Step 3: Cross multiply
    381,997.13x = 516,943.13 × 516,943.13
  4. Step 4: Simplify right side
    381,997.13x = 267,230,194,484.77
  5. Step 5: Solve for x
    x = 267,230,194,484.77/381,997.13
  6. Step 6: Final answer
    x = 699,560.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.