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Finding the Third Proportional to 3,999.38 and 5,999.91

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Solution

The third proportional to 3,999.38 and 5,999.91 is: 9,001.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.38 : 5,999.91 = 5,999.91 : x
  2. Step 2: Convert to fraction form
    3,999.38/5,999.91 = 5,999.91/x
  3. Step 3: Cross multiply
    3,999.38x = 5,999.91 × 5,999.91
  4. Step 4: Simplify right side
    3,999.38x = 35,998,875.01
  5. Step 5: Solve for x
    x = 35,998,875.01/3,999.38
  6. Step 6: Final answer
    x = 9,001.13

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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.