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Finding the Third Proportional to 49,720 and 75,876

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Solution

The third proportional to 49,720 and 75,876 is: 115,791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,720 : 75,876 = 75,876 : x
  2. Step 2: Convert to fraction form
    49,720/75,876 = 75,876/x
  3. Step 3: Cross multiply
    49,720x = 75,876 × 75,876
  4. Step 4: Simplify right side
    49,720x = 5,757,167,376
  5. Step 5: Solve for x
    x = 5,757,167,376/49,720
  6. Step 6: Final answer
    x = 115,791.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.