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Finding the Third Proportional to 13,739 and 20,599

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Solution

The third proportional to 13,739 and 20,599 is: 30,884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,739 : 20,599 = 20,599 : x
  2. Step 2: Convert to fraction form
    13,739/20,599 = 20,599/x
  3. Step 3: Cross multiply
    13,739x = 20,599 × 20,599
  4. Step 4: Simplify right side
    13,739x = 424,318,801
  5. Step 5: Solve for x
    x = 424,318,801/13,739
  6. Step 6: Final answer
    x = 30,884.26

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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.