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Finding the Third Proportional to 218,542 and 337,518

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Solution

The third proportional to 218,542 and 337,518 is: 521,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,542 : 337,518 = 337,518 : x
  2. Step 2: Convert to fraction form
    218,542/337,518 = 337,518/x
  3. Step 3: Cross multiply
    218,542x = 337,518 × 337,518
  4. Step 4: Simplify right side
    218,542x = 113,918,400,324
  5. Step 5: Solve for x
    x = 113,918,400,324/218,542
  6. Step 6: Final answer
    x = 521,265.48

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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.