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Finding the Third Proportional to 87,104.11 and 122,665.64

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Solution

The third proportional to 87,104.11 and 122,665.64 is: 172,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,104.11 : 122,665.64 = 122,665.64 : x
  2. Step 2: Convert to fraction form
    87,104.11/122,665.64 = 122,665.64/x
  3. Step 3: Cross multiply
    87,104.11x = 122,665.64 × 122,665.64
  4. Step 4: Simplify right side
    87,104.11x = 15,046,859,389.94
  5. Step 5: Solve for x
    x = 15,046,859,389.94/87,104.11
  6. Step 6: Final answer
    x = 172,745.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.