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Finding the Third Proportional to 78,843 and 125,517

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Solution

The third proportional to 78,843 and 125,517 is: 199,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,843 : 125,517 = 125,517 : x
  2. Step 2: Convert to fraction form
    78,843/125,517 = 125,517/x
  3. Step 3: Cross multiply
    78,843x = 125,517 × 125,517
  4. Step 4: Simplify right side
    78,843x = 15,754,517,289
  5. Step 5: Solve for x
    x = 15,754,517,289/78,843
  6. Step 6: Final answer
    x = 199,821.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.