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Finding the Third Proportional to 5,449.78 and 8,380.97

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Solution

The third proportional to 5,449.78 and 8,380.97 is: 12,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.78 : 8,380.97 = 8,380.97 : x
  2. Step 2: Convert to fraction form
    5,449.78/8,380.97 = 8,380.97/x
  3. Step 3: Cross multiply
    5,449.78x = 8,380.97 × 8,380.97
  4. Step 4: Simplify right side
    5,449.78x = 70,240,637.19
  5. Step 5: Solve for x
    x = 70,240,637.19/5,449.78
  6. Step 6: Final answer
    x = 12,888.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.