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Finding the Third Proportional to 81,708.75 and 126,255.38

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Solution

The third proportional to 81,708.75 and 126,255.38 is: 195,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,708.75 : 126,255.38 = 126,255.38 : x
  2. Step 2: Convert to fraction form
    81,708.75/126,255.38 = 126,255.38/x
  3. Step 3: Cross multiply
    81,708.75x = 126,255.38 × 126,255.38
  4. Step 4: Simplify right side
    81,708.75x = 15,940,419,716.39
  5. Step 5: Solve for x
    x = 15,940,419,716.39/81,708.75
  6. Step 6: Final answer
    x = 195,088.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.