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Finding the Third Proportional to 218,518 and 329,775

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Solution

The third proportional to 218,518 and 329,775 is: 497,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,518 : 329,775 = 329,775 : x
  2. Step 2: Convert to fraction form
    218,518/329,775 = 329,775/x
  3. Step 3: Cross multiply
    218,518x = 329,775 × 329,775
  4. Step 4: Simplify right side
    218,518x = 108,751,550,625
  5. Step 5: Solve for x
    x = 108,751,550,625/218,518
  6. Step 6: Final answer
    x = 497,677.77

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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.