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Finding the Third Proportional to 3,111.75 and 4,006.13

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Solution

The third proportional to 3,111.75 and 4,006.13 is: 5,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.75 : 4,006.13 = 4,006.13 : x
  2. Step 2: Convert to fraction form
    3,111.75/4,006.13 = 4,006.13/x
  3. Step 3: Cross multiply
    3,111.75x = 4,006.13 × 4,006.13
  4. Step 4: Simplify right side
    3,111.75x = 16,049,037.52
  5. Step 5: Solve for x
    x = 16,049,037.52/3,111.75
  6. Step 6: Final answer
    x = 5,157.56

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.