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Finding the Third Proportional to 81,627.56 and 126,135.38

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Solution

The third proportional to 81,627.56 and 126,135.38 is: 194,911.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,627.56 : 126,135.38 = 126,135.38 : x
  2. Step 2: Convert to fraction form
    81,627.56/126,135.38 = 126,135.38/x
  3. Step 3: Cross multiply
    81,627.56x = 126,135.38 × 126,135.38
  4. Step 4: Simplify right side
    81,627.56x = 15,910,132,826.39
  5. Step 5: Solve for x
    x = 15,910,132,826.39/81,627.56
  6. Step 6: Final answer
    x = 194,911.28

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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.