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Finding the Third Proportional to 78,163.88 and 121,105.13

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Solution

The third proportional to 78,163.88 and 121,105.13 is: 187,637.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,163.88 : 121,105.13 = 121,105.13 : x
  2. Step 2: Convert to fraction form
    78,163.88/121,105.13 = 121,105.13/x
  3. Step 3: Cross multiply
    78,163.88x = 121,105.13 × 121,105.13
  4. Step 4: Simplify right side
    78,163.88x = 14,666,451,301.27
  5. Step 5: Solve for x
    x = 14,666,451,301.27/78,163.88
  6. Step 6: Final answer
    x = 187,637.21

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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.