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Finding the Third Proportional to 3,952.55 and 5,934.52

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Solution

The third proportional to 3,952.55 and 5,934.52 is: 8,910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.55 : 5,934.52 = 5,934.52 : x
  2. Step 2: Convert to fraction form
    3,952.55/5,934.52 = 5,934.52/x
  3. Step 3: Cross multiply
    3,952.55x = 5,934.52 × 5,934.52
  4. Step 4: Simplify right side
    3,952.55x = 35,218,475.70
  5. Step 5: Solve for x
    x = 35,218,475.70/3,952.55
  6. Step 6: Final answer
    x = 8,910.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.