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Finding the Third Proportional to 272,214 and 408,591

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Solution

The third proportional to 272,214 and 408,591 is: 613,291.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,214 : 408,591 = 408,591 : x
  2. Step 2: Convert to fraction form
    272,214/408,591 = 408,591/x
  3. Step 3: Cross multiply
    272,214x = 408,591 × 408,591
  4. Step 4: Simplify right side
    272,214x = 166,946,605,281
  5. Step 5: Solve for x
    x = 166,946,605,281/272,214
  6. Step 6: Final answer
    x = 613,291.77

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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.