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Finding the Third Proportional to 3,948.75 and 8,679.66

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Solution

The third proportional to 3,948.75 and 8,679.66 is: 19,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.75 : 8,679.66 = 8,679.66 : x
  2. Step 2: Convert to fraction form
    3,948.75/8,679.66 = 8,679.66/x
  3. Step 3: Cross multiply
    3,948.75x = 8,679.66 × 8,679.66
  4. Step 4: Simplify right side
    3,948.75x = 75,336,432.62
  5. Step 5: Solve for x
    x = 75,336,432.62/3,948.75
  6. Step 6: Final answer
    x = 19,078.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.