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Finding the Third Proportional to 3,899.81 and 8,305.88

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Solution

The third proportional to 3,899.81 and 8,305.88 is: 17,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.81 : 8,305.88 = 8,305.88 : x
  2. Step 2: Convert to fraction form
    3,899.81/8,305.88 = 8,305.88/x
  3. Step 3: Cross multiply
    3,899.81x = 8,305.88 × 8,305.88
  4. Step 4: Simplify right side
    3,899.81x = 68,987,559.52
  5. Step 5: Solve for x
    x = 68,987,559.52/3,899.81
  6. Step 6: Final answer
    x = 17,689.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.