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Finding the Third Proportional to 20,876 and 31,832

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Solution

The third proportional to 20,876 and 31,832 is: 48,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,876 : 31,832 = 31,832 : x
  2. Step 2: Convert to fraction form
    20,876/31,832 = 31,832/x
  3. Step 3: Cross multiply
    20,876x = 31,832 × 31,832
  4. Step 4: Simplify right side
    20,876x = 1,013,276,224
  5. Step 5: Solve for x
    x = 1,013,276,224/20,876
  6. Step 6: Final answer
    x = 48,537.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.