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Finding the Third Proportional to 15,160 and 20,876

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Solution

The third proportional to 15,160 and 20,876 is: 28,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,160 : 20,876 = 20,876 : x
  2. Step 2: Convert to fraction form
    15,160/20,876 = 20,876/x
  3. Step 3: Cross multiply
    15,160x = 20,876 × 20,876
  4. Step 4: Simplify right side
    15,160x = 435,807,376
  5. Step 5: Solve for x
    x = 435,807,376/15,160
  6. Step 6: Final answer
    x = 28,747.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.