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Finding the Third Proportional to 3,043.43 and 4,093.15

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Solution

The third proportional to 3,043.43 and 4,093.15 is: 5,504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.43 : 4,093.15 = 4,093.15 : x
  2. Step 2: Convert to fraction form
    3,043.43/4,093.15 = 4,093.15/x
  3. Step 3: Cross multiply
    3,043.43x = 4,093.15 × 4,093.15
  4. Step 4: Simplify right side
    3,043.43x = 16,753,876.12
  5. Step 5: Solve for x
    x = 16,753,876.12/3,043.43
  6. Step 6: Final answer
    x = 5,504.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.