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Finding the Third Proportional to 78,323 and 126,113

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Solution

The third proportional to 78,323 and 126,113 is: 203,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,323 : 126,113 = 126,113 : x
  2. Step 2: Convert to fraction form
    78,323/126,113 = 126,113/x
  3. Step 3: Cross multiply
    78,323x = 126,113 × 126,113
  4. Step 4: Simplify right side
    78,323x = 15,904,488,769
  5. Step 5: Solve for x
    x = 15,904,488,769/78,323
  6. Step 6: Final answer
    x = 203,062.81

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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.