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Finding the Third Proportional to 20,340 and 31,876

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Solution

The third proportional to 20,340 and 31,876 is: 49,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,340 : 31,876 = 31,876 : x
  2. Step 2: Convert to fraction form
    20,340/31,876 = 31,876/x
  3. Step 3: Cross multiply
    20,340x = 31,876 × 31,876
  4. Step 4: Simplify right side
    20,340x = 1,016,079,376
  5. Step 5: Solve for x
    x = 1,016,079,376/20,340
  6. Step 6: Final answer
    x = 49,954.74

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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.