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Finding the Third Proportional to 39,142.31 and 87,249.19

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Solution

The third proportional to 39,142.31 and 87,249.19 is: 194,480.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,142.31 : 87,249.19 = 87,249.19 : x
  2. Step 2: Convert to fraction form
    39,142.31/87,249.19 = 87,249.19/x
  3. Step 3: Cross multiply
    39,142.31x = 87,249.19 × 87,249.19
  4. Step 4: Simplify right side
    39,142.31x = 7,612,420,719.41
  5. Step 5: Solve for x
    x = 7,612,420,719.41/39,142.31
  6. Step 6: Final answer
    x = 194,480.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.