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Finding the Third Proportional to 3,793.55 and 5,743.25

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Solution

The third proportional to 3,793.55 and 5,743.25 is: 8,694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.55 : 5,743.25 = 5,743.25 : x
  2. Step 2: Convert to fraction form
    3,793.55/5,743.25 = 5,743.25/x
  3. Step 3: Cross multiply
    3,793.55x = 5,743.25 × 5,743.25
  4. Step 4: Simplify right side
    3,793.55x = 32,984,898.13
  5. Step 5: Solve for x
    x = 32,984,898.13/3,793.55
  6. Step 6: Final answer
    x = 8,694.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.