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Finding the Third Proportional to 3,999.38 and 4,500.56

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Solution

The third proportional to 3,999.38 and 4,500.56 is: 5,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.38 : 4,500.56 = 4,500.56 : x
  2. Step 2: Convert to fraction form
    3,999.38/4,500.56 = 4,500.56/x
  3. Step 3: Cross multiply
    3,999.38x = 4,500.56 × 4,500.56
  4. Step 4: Simplify right side
    3,999.38x = 20,255,062.82
  5. Step 5: Solve for x
    x = 20,255,062.82/3,999.38
  6. Step 6: Final answer
    x = 5,064.56

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.