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Finding the Third Proportional to 12,190 and 18,339

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Solution

The third proportional to 12,190 and 18,339 is: 27,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190 : 18,339 = 18,339 : x
  2. Step 2: Convert to fraction form
    12,190/18,339 = 18,339/x
  3. Step 3: Cross multiply
    12,190x = 18,339 × 18,339
  4. Step 4: Simplify right side
    12,190x = 336,318,921
  5. Step 5: Solve for x
    x = 336,318,921/12,190
  6. Step 6: Final answer
    x = 27,589.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.