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Finding the Third Proportional to 218,524 and 329,784

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Solution

The third proportional to 218,524 and 329,784 is: 497,691.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,524 : 329,784 = 329,784 : x
  2. Step 2: Convert to fraction form
    218,524/329,784 = 329,784/x
  3. Step 3: Cross multiply
    218,524x = 329,784 × 329,784
  4. Step 4: Simplify right side
    218,524x = 108,757,486,656
  5. Step 5: Solve for x
    x = 108,757,486,656/218,524
  6. Step 6: Final answer
    x = 497,691.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.