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Finding the Third Proportional to 78,876 and 125,563

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Solution

The third proportional to 78,876 and 125,563 is: 199,884.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,876 : 125,563 = 125,563 : x
  2. Step 2: Convert to fraction form
    78,876/125,563 = 125,563/x
  3. Step 3: Cross multiply
    78,876x = 125,563 × 125,563
  4. Step 4: Simplify right side
    78,876x = 15,766,066,969
  5. Step 5: Solve for x
    x = 15,766,066,969/78,876
  6. Step 6: Final answer
    x = 199,884.21

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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.