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Finding the Third Proportional to 3,993.68 and 5,585.41

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Solution

The third proportional to 3,993.68 and 5,585.41 is: 7,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.68 : 5,585.41 = 5,585.41 : x
  2. Step 2: Convert to fraction form
    3,993.68/5,585.41 = 5,585.41/x
  3. Step 3: Cross multiply
    3,993.68x = 5,585.41 × 5,585.41
  4. Step 4: Simplify right side
    3,993.68x = 31,196,850.25
  5. Step 5: Solve for x
    x = 31,196,850.25/3,993.68
  6. Step 6: Final answer
    x = 7,811.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.