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Finding the Third Proportional to 3,999.38 and 6,540.75

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Solution

The third proportional to 3,999.38 and 6,540.75 is: 10,697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.38 : 6,540.75 = 6,540.75 : x
  2. Step 2: Convert to fraction form
    3,999.38/6,540.75 = 6,540.75/x
  3. Step 3: Cross multiply
    3,999.38x = 6,540.75 × 6,540.75
  4. Step 4: Simplify right side
    3,999.38x = 42,781,410.56
  5. Step 5: Solve for x
    x = 42,781,410.56/3,999.38
  6. Step 6: Final answer
    x = 10,697.02

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.