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Finding the Third Proportional to 218,691 and 326,897

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Solution

The third proportional to 218,691 and 326,897 is: 488,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,691 : 326,897 = 326,897 : x
  2. Step 2: Convert to fraction form
    218,691/326,897 = 326,897/x
  3. Step 3: Cross multiply
    218,691x = 326,897 × 326,897
  4. Step 4: Simplify right side
    218,691x = 106,861,648,609
  5. Step 5: Solve for x
    x = 106,861,648,609/218,691
  6. Step 6: Final answer
    x = 488,642.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.