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Finding the Third Proportional to 272,186 and 408,551

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Solution

The third proportional to 272,186 and 408,551 is: 613,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,186 : 408,551 = 408,551 : x
  2. Step 2: Convert to fraction form
    272,186/408,551 = 408,551/x
  3. Step 3: Cross multiply
    272,186x = 408,551 × 408,551
  4. Step 4: Simplify right side
    272,186x = 166,913,919,601
  5. Step 5: Solve for x
    x = 166,913,919,601/272,186
  6. Step 6: Final answer
    x = 613,234.77

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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.