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Finding the Third Proportional to 80,942 and 126,699

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Solution

The third proportional to 80,942 and 126,699 is: 198,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,942 : 126,699 = 126,699 : x
  2. Step 2: Convert to fraction form
    80,942/126,699 = 126,699/x
  3. Step 3: Cross multiply
    80,942x = 126,699 × 126,699
  4. Step 4: Simplify right side
    80,942x = 16,052,636,601
  5. Step 5: Solve for x
    x = 16,052,636,601/80,942
  6. Step 6: Final answer
    x = 198,322.71

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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.