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Finding the Third Proportional to 13,781 and 20,193

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Solution

The third proportional to 13,781 and 20,193 is: 29,588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781 : 20,193 = 20,193 : x
  2. Step 2: Convert to fraction form
    13,781/20,193 = 20,193/x
  3. Step 3: Cross multiply
    13,781x = 20,193 × 20,193
  4. Step 4: Simplify right side
    13,781x = 407,757,249
  5. Step 5: Solve for x
    x = 407,757,249/13,781
  6. Step 6: Final answer
    x = 29,588.36

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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.