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Finding the Third Proportional to 221,489 and 332,165

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Solution

The third proportional to 221,489 and 332,165 is: 498,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,489 : 332,165 = 332,165 : x
  2. Step 2: Convert to fraction form
    221,489/332,165 = 332,165/x
  3. Step 3: Cross multiply
    221,489x = 332,165 × 332,165
  4. Step 4: Simplify right side
    221,489x = 110,333,587,225
  5. Step 5: Solve for x
    x = 110,333,587,225/221,489
  6. Step 6: Final answer
    x = 498,144.77

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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.