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Finding the Third Proportional to 31,977 and 50,163

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Solution

The third proportional to 31,977 and 50,163 is: 78,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,977 : 50,163 = 50,163 : x
  2. Step 2: Convert to fraction form
    31,977/50,163 = 50,163/x
  3. Step 3: Cross multiply
    31,977x = 50,163 × 50,163
  4. Step 4: Simplify right side
    31,977x = 2,516,326,569
  5. Step 5: Solve for x
    x = 2,516,326,569/31,977
  6. Step 6: Final answer
    x = 78,691.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.