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Finding the Third Proportional to 87,910.31 and 189,170.44

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Solution

The third proportional to 87,910.31 and 189,170.44 is: 407,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,910.31 : 189,170.44 = 189,170.44 : x
  2. Step 2: Convert to fraction form
    87,910.31/189,170.44 = 189,170.44/x
  3. Step 3: Cross multiply
    87,910.31x = 189,170.44 × 189,170.44
  4. Step 4: Simplify right side
    87,910.31x = 35,785,454,423.94
  5. Step 5: Solve for x
    x = 35,785,454,423.94/87,910.31
  6. Step 6: Final answer
    x = 407,067.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.