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Finding the Third Proportional to 218,352 and 331,467

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Solution

The third proportional to 218,352 and 331,467 is: 503,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,352 : 331,467 = 331,467 : x
  2. Step 2: Convert to fraction form
    218,352/331,467 = 331,467/x
  3. Step 3: Cross multiply
    218,352x = 331,467 × 331,467
  4. Step 4: Simplify right side
    218,352x = 109,870,372,089
  5. Step 5: Solve for x
    x = 109,870,372,089/218,352
  6. Step 6: Final answer
    x = 503,180.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.