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Finding the Third Proportional to 4.12 and 6.78

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Solution

The third proportional to 4.12 and 6.78 is: 11.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.12 : 6.78 = 6.78 : x
  2. Step 2: Convert to fraction form
    4.12/6.78 = 6.78/x
  3. Step 3: Cross multiply
    4.12x = 6.78 × 6.78
  4. Step 4: Simplify right side
    4.12x = 45.96
  5. Step 5: Solve for x
    x = 45.96/4.12
  6. Step 6: Final answer
    x = 11.15

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.