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Finding the Third Proportional to 12,429 and 18,474

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Solution

The third proportional to 12,429 and 18,474 is: 27,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429 : 18,474 = 18,474 : x
  2. Step 2: Convert to fraction form
    12,429/18,474 = 18,474/x
  3. Step 3: Cross multiply
    12,429x = 18,474 × 18,474
  4. Step 4: Simplify right side
    12,429x = 341,288,676
  5. Step 5: Solve for x
    x = 341,288,676/12,429
  6. Step 6: Final answer
    x = 27,459.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.