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Finding the Third Proportional to 272,187 and 408,552

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Solution

The third proportional to 272,187 and 408,552 is: 613,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,187 : 408,552 = 408,552 : x
  2. Step 2: Convert to fraction form
    272,187/408,552 = 408,552/x
  3. Step 3: Cross multiply
    272,187x = 408,552 × 408,552
  4. Step 4: Simplify right side
    272,187x = 166,914,736,704
  5. Step 5: Solve for x
    x = 166,914,736,704/272,187
  6. Step 6: Final answer
    x = 613,235.52

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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.