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Finding the Third Proportional to 12,589 and 18,517

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Solution

The third proportional to 12,589 and 18,517 is: 27,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589 : 18,517 = 18,517 : x
  2. Step 2: Convert to fraction form
    12,589/18,517 = 18,517/x
  3. Step 3: Cross multiply
    12,589x = 18,517 × 18,517
  4. Step 4: Simplify right side
    12,589x = 342,879,289
  5. Step 5: Solve for x
    x = 342,879,289/12,589
  6. Step 6: Final answer
    x = 27,236.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.