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Finding the Third Proportional to 9,439 and 13,229

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Solution

The third proportional to 9,439 and 13,229 is: 18,540.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,439 : 13,229 = 13,229 : x
  2. Step 2: Convert to fraction form
    9,439/13,229 = 13,229/x
  3. Step 3: Cross multiply
    9,439x = 13,229 × 13,229
  4. Step 4: Simplify right side
    9,439x = 175,006,441
  5. Step 5: Solve for x
    x = 175,006,441/9,439
  6. Step 6: Final answer
    x = 18,540.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.