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Finding the Third Proportional to 81,256.78 and 126,310.92

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Solution

The third proportional to 81,256.78 and 126,310.92 is: 196,346.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,256.78 : 126,310.92 = 126,310.92 : x
  2. Step 2: Convert to fraction form
    81,256.78/126,310.92 = 126,310.92/x
  3. Step 3: Cross multiply
    81,256.78x = 126,310.92 × 126,310.92
  4. Step 4: Simplify right side
    81,256.78x = 15,954,448,984.91
  5. Step 5: Solve for x
    x = 15,954,448,984.91/81,256.78
  6. Step 6: Final answer
    x = 196,346.06

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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.