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Finding the Third Proportional to 218,727 and 337,419

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Solution

The third proportional to 218,727 and 337,419 is: 520,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,727 : 337,419 = 337,419 : x
  2. Step 2: Convert to fraction form
    218,727/337,419 = 337,419/x
  3. Step 3: Cross multiply
    218,727x = 337,419 × 337,419
  4. Step 4: Simplify right side
    218,727x = 113,851,581,561
  5. Step 5: Solve for x
    x = 113,851,581,561/218,727
  6. Step 6: Final answer
    x = 520,519.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.