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Finding the Third Proportional to 11,999 and 18,001

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Solution

The third proportional to 11,999 and 18,001 is: 27,005.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999 : 18,001 = 18,001 : x
  2. Step 2: Convert to fraction form
    11,999/18,001 = 18,001/x
  3. Step 3: Cross multiply
    11,999x = 18,001 × 18,001
  4. Step 4: Simplify right side
    11,999x = 324,036,001
  5. Step 5: Solve for x
    x = 324,036,001/11,999
  6. Step 6: Final answer
    x = 27,005.25

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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.