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Finding the Third Proportional to 221,539 and 332,227

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Solution

The third proportional to 221,539 and 332,227 is: 498,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,539 : 332,227 = 332,227 : x
  2. Step 2: Convert to fraction form
    221,539/332,227 = 332,227/x
  3. Step 3: Cross multiply
    221,539x = 332,227 × 332,227
  4. Step 4: Simplify right side
    221,539x = 110,374,779,529
  5. Step 5: Solve for x
    x = 110,374,779,529/221,539
  6. Step 6: Final answer
    x = 498,218.28

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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.