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Finding the Third Proportional to 8,183.25 and 17,490.38

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Solution

The third proportional to 8,183.25 and 17,490.38 is: 37,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.25 : 17,490.38 = 17,490.38 : x
  2. Step 2: Convert to fraction form
    8,183.25/17,490.38 = 17,490.38/x
  3. Step 3: Cross multiply
    8,183.25x = 17,490.38 × 17,490.38
  4. Step 4: Simplify right side
    8,183.25x = 305,913,217.64
  5. Step 5: Solve for x
    x = 305,913,217.64/8,183.25
  6. Step 6: Final answer
    x = 37,382.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.