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Finding the Third Proportional to 272,110 and 408,439

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Solution

The third proportional to 272,110 and 408,439 is: 613,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,110 : 408,439 = 408,439 : x
  2. Step 2: Convert to fraction form
    272,110/408,439 = 408,439/x
  3. Step 3: Cross multiply
    272,110x = 408,439 × 408,439
  4. Step 4: Simplify right side
    272,110x = 166,822,416,721
  5. Step 5: Solve for x
    x = 166,822,416,721/272,110
  6. Step 6: Final answer
    x = 613,069.78

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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.