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Finding the Third Proportional to 20,399 and 28,876

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Solution

The third proportional to 20,399 and 28,876 is: 40,875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,399 : 28,876 = 28,876 : x
  2. Step 2: Convert to fraction form
    20,399/28,876 = 28,876/x
  3. Step 3: Cross multiply
    20,399x = 28,876 × 28,876
  4. Step 4: Simplify right side
    20,399x = 833,823,376
  5. Step 5: Solve for x
    x = 833,823,376/20,399
  6. Step 6: Final answer
    x = 40,875.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.