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Finding the Third Proportional to 218,538 and 329,816

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Solution

The third proportional to 218,538 and 329,816 is: 497,755.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,538 : 329,816 = 329,816 : x
  2. Step 2: Convert to fraction form
    218,538/329,816 = 329,816/x
  3. Step 3: Cross multiply
    218,538x = 329,816 × 329,816
  4. Step 4: Simplify right side
    218,538x = 108,778,593,856
  5. Step 5: Solve for x
    x = 108,778,593,856/218,538
  6. Step 6: Final answer
    x = 497,755.97

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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.