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Finding the Third Proportional to 78,318.56 and 126,104.34

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Solution

The third proportional to 78,318.56 and 126,104.34 is: 203,046.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,318.56 : 126,104.34 = 126,104.34 : x
  2. Step 2: Convert to fraction form
    78,318.56/126,104.34 = 126,104.34/x
  3. Step 3: Cross multiply
    78,318.56x = 126,104.34 × 126,104.34
  4. Step 4: Simplify right side
    78,318.56x = 15,902,305,512.62
  5. Step 5: Solve for x
    x = 15,902,305,512.62/78,318.56
  6. Step 6: Final answer
    x = 203,046.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.