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Finding the Third Proportional to 80,042 and 115,930

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Solution

The third proportional to 80,042 and 115,930 is: 167,908.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,042 : 115,930 = 115,930 : x
  2. Step 2: Convert to fraction form
    80,042/115,930 = 115,930/x
  3. Step 3: Cross multiply
    80,042x = 115,930 × 115,930
  4. Step 4: Simplify right side
    80,042x = 13,439,764,900
  5. Step 5: Solve for x
    x = 13,439,764,900/80,042
  6. Step 6: Final answer
    x = 167,908.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.