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Finding the Third Proportional to 407,676 and 617,670

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Solution

The third proportional to 407,676 and 617,670 is: 935,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,676 : 617,670 = 617,670 : x
  2. Step 2: Convert to fraction form
    407,676/617,670 = 617,670/x
  3. Step 3: Cross multiply
    407,676x = 617,670 × 617,670
  4. Step 4: Simplify right side
    407,676x = 381,516,228,900
  5. Step 5: Solve for x
    x = 381,516,228,900/407,676
  6. Step 6: Final answer
    x = 935,831.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.