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Finding the Third Proportional to 3,917.74 and 8,382.23

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Solution

The third proportional to 3,917.74 and 8,382.23 is: 17,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.74 : 8,382.23 = 8,382.23 : x
  2. Step 2: Convert to fraction form
    3,917.74/8,382.23 = 8,382.23/x
  3. Step 3: Cross multiply
    3,917.74x = 8,382.23 × 8,382.23
  4. Step 4: Simplify right side
    3,917.74x = 70,261,853.12
  5. Step 5: Solve for x
    x = 70,261,853.12/3,917.74
  6. Step 6: Final answer
    x = 17,934.27

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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.