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Finding the Third Proportional to 80,916 and 126,667

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Solution

The third proportional to 80,916 and 126,667 is: 198,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,916 : 126,667 = 126,667 : x
  2. Step 2: Convert to fraction form
    80,916/126,667 = 126,667/x
  3. Step 3: Cross multiply
    80,916x = 126,667 × 126,667
  4. Step 4: Simplify right side
    80,916x = 16,044,528,889
  5. Step 5: Solve for x
    x = 16,044,528,889/80,916
  6. Step 6: Final answer
    x = 198,286.23

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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.