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Finding the Third Proportional to 15,589 and 20,103

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Solution

The third proportional to 15,589 and 20,103 is: 25,924.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589 : 20,103 = 20,103 : x
  2. Step 2: Convert to fraction form
    15,589/20,103 = 20,103/x
  3. Step 3: Cross multiply
    15,589x = 20,103 × 20,103
  4. Step 4: Simplify right side
    15,589x = 404,130,609
  5. Step 5: Solve for x
    x = 404,130,609/15,589
  6. Step 6: Final answer
    x = 25,924.09

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.