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Finding the Third Proportional to 3.86 and 8.88

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Solution

The third proportional to 3.86 and 8.88 is: 20.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.86 : 8.88 = 8.88 : x
  2. Step 2: Convert to fraction form
    3.86/8.88 = 8.88/x
  3. Step 3: Cross multiply
    3.86x = 8.88 × 8.88
  4. Step 4: Simplify right side
    3.86x = 78.86
  5. Step 5: Solve for x
    x = 78.86/3.86
  6. Step 6: Final answer
    x = 20.43

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.