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Finding the Third Proportional to 3,380.91 and 5,400.84

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Solution

The third proportional to 3,380.91 and 5,400.84 is: 8,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.91 : 5,400.84 = 5,400.84 : x
  2. Step 2: Convert to fraction form
    3,380.91/5,400.84 = 5,400.84/x
  3. Step 3: Cross multiply
    3,380.91x = 5,400.84 × 5,400.84
  4. Step 4: Simplify right side
    3,380.91x = 29,169,113.21
  5. Step 5: Solve for x
    x = 29,169,113.21/3,380.91
  6. Step 6: Final answer
    x = 8,627.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.