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Finding the Third Proportional to 3.78 and 8.05

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Solution

The third proportional to 3.78 and 8.05 is: 17.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.78 : 8.05 = 8.05 : x
  2. Step 2: Convert to fraction form
    3.78/8.05 = 8.05/x
  3. Step 3: Cross multiply
    3.78x = 8.05 × 8.05
  4. Step 4: Simplify right side
    3.78x = 64.86
  5. Step 5: Solve for x
    x = 64.86/3.78
  6. Step 6: Final answer
    x = 17.15

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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.