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Finding the Third Proportional to 18,013 and 38,801

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Solution

The third proportional to 18,013 and 38,801 is: 83,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,013 : 38,801 = 38,801 : x
  2. Step 2: Convert to fraction form
    18,013/38,801 = 38,801/x
  3. Step 3: Cross multiply
    18,013x = 38,801 × 38,801
  4. Step 4: Simplify right side
    18,013x = 1,505,517,601
  5. Step 5: Solve for x
    x = 1,505,517,601/18,013
  6. Step 6: Final answer
    x = 83,579.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.