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Finding the Third Proportional to 3,759.86 and 8,183.21

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Solution

The third proportional to 3,759.86 and 8,183.21 is: 17,810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.86 : 8,183.21 = 8,183.21 : x
  2. Step 2: Convert to fraction form
    3,759.86/8,183.21 = 8,183.21/x
  3. Step 3: Cross multiply
    3,759.86x = 8,183.21 × 8,183.21
  4. Step 4: Simplify right side
    3,759.86x = 66,965,005.18
  5. Step 5: Solve for x
    x = 66,965,005.18/3,759.86
  6. Step 6: Final answer
    x = 17,810.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.