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Finding the Third Proportional to 222,352 and 332,920

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Solution

The third proportional to 222,352 and 332,920 is: 498,469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,352 : 332,920 = 332,920 : x
  2. Step 2: Convert to fraction form
    222,352/332,920 = 332,920/x
  3. Step 3: Cross multiply
    222,352x = 332,920 × 332,920
  4. Step 4: Simplify right side
    222,352x = 110,835,726,400
  5. Step 5: Solve for x
    x = 110,835,726,400/222,352
  6. Step 6: Final answer
    x = 498,469.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.