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Finding the Third Proportional to 9,149 and 13,685

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Solution

The third proportional to 9,149 and 13,685 is: 20,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149 : 13,685 = 13,685 : x
  2. Step 2: Convert to fraction form
    9,149/13,685 = 13,685/x
  3. Step 3: Cross multiply
    9,149x = 13,685 × 13,685
  4. Step 4: Simplify right side
    9,149x = 187,279,225
  5. Step 5: Solve for x
    x = 187,279,225/9,149
  6. Step 6: Final answer
    x = 20,469.91

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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.