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Finding the Third Proportional to 218,542 and 329,822

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Solution

The third proportional to 218,542 and 329,822 is: 497,764.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,542 : 329,822 = 329,822 : x
  2. Step 2: Convert to fraction form
    218,542/329,822 = 329,822/x
  3. Step 3: Cross multiply
    218,542x = 329,822 × 329,822
  4. Step 4: Simplify right side
    218,542x = 108,782,551,684
  5. Step 5: Solve for x
    x = 108,782,551,684/218,542
  6. Step 6: Final answer
    x = 497,764.97

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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.