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Finding the Third Proportional to 3,132.42 and 5,105.85

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Solution

The third proportional to 3,132.42 and 5,105.85 is: 8,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.42 : 5,105.85 = 5,105.85 : x
  2. Step 2: Convert to fraction form
    3,132.42/5,105.85 = 5,105.85/x
  3. Step 3: Cross multiply
    3,132.42x = 5,105.85 × 5,105.85
  4. Step 4: Simplify right side
    3,132.42x = 26,069,680.29
  5. Step 5: Solve for x
    x = 26,069,680.29/3,132.42
  6. Step 6: Final answer
    x = 8,322.53

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.