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Finding the Third Proportional to 3,863.32 and 8,321.80

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Solution

The third proportional to 3,863.32 and 8,321.80 is: 17,925.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.32 : 8,321.80 = 8,321.80 : x
  2. Step 2: Convert to fraction form
    3,863.32/8,321.80 = 8,321.80/x
  3. Step 3: Cross multiply
    3,863.32x = 8,321.80 × 8,321.80
  4. Step 4: Simplify right side
    3,863.32x = 69,252,368.24
  5. Step 5: Solve for x
    x = 69,252,368.24/3,863.32
  6. Step 6: Final answer
    x = 17,925.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.