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Finding the Third Proportional to 78,720.61 and 123,132.66

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Solution

The third proportional to 78,720.61 and 123,132.66 is: 192,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,720.61 : 123,132.66 = 123,132.66 : x
  2. Step 2: Convert to fraction form
    78,720.61/123,132.66 = 123,132.66/x
  3. Step 3: Cross multiply
    78,720.61x = 123,132.66 × 123,132.66
  4. Step 4: Simplify right side
    78,720.61x = 15,161,651,035.18
  5. Step 5: Solve for x
    x = 15,161,651,035.18/78,720.61
  6. Step 6: Final answer
    x = 192,600.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.