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Finding the Third Proportional to 3,115.13 and 3,454.31

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Solution

The third proportional to 3,115.13 and 3,454.31 is: 3,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.13 : 3,454.31 = 3,454.31 : x
  2. Step 2: Convert to fraction form
    3,115.13/3,454.31 = 3,454.31/x
  3. Step 3: Cross multiply
    3,115.13x = 3,454.31 × 3,454.31
  4. Step 4: Simplify right side
    3,115.13x = 11,932,274.85
  5. Step 5: Solve for x
    x = 11,932,274.85/3,115.13
  6. Step 6: Final answer
    x = 3,830.43

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.