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Finding the Third Proportional to 83,864 and 126,878

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Solution

The third proportional to 83,864 and 126,878 is: 191,953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,864 : 126,878 = 126,878 : x
  2. Step 2: Convert to fraction form
    83,864/126,878 = 126,878/x
  3. Step 3: Cross multiply
    83,864x = 126,878 × 126,878
  4. Step 4: Simplify right side
    83,864x = 16,098,026,884
  5. Step 5: Solve for x
    x = 16,098,026,884/83,864
  6. Step 6: Final answer
    x = 191,953.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.