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Finding the Third Proportional to 13,843 and 20,302

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Solution

The third proportional to 13,843 and 20,302 is: 29,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843 : 20,302 = 20,302 : x
  2. Step 2: Convert to fraction form
    13,843/20,302 = 20,302/x
  3. Step 3: Cross multiply
    13,843x = 20,302 × 20,302
  4. Step 4: Simplify right side
    13,843x = 412,171,204
  5. Step 5: Solve for x
    x = 412,171,204/13,843
  6. Step 6: Final answer
    x = 29,774.70

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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.