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Finding the Third Proportional to 80,918 and 126,670

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Solution

The third proportional to 80,918 and 126,670 is: 198,290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,918 : 126,670 = 126,670 : x
  2. Step 2: Convert to fraction form
    80,918/126,670 = 126,670/x
  3. Step 3: Cross multiply
    80,918x = 126,670 × 126,670
  4. Step 4: Simplify right side
    80,918x = 16,045,288,900
  5. Step 5: Solve for x
    x = 16,045,288,900/80,918
  6. Step 6: Final answer
    x = 198,290.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.