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Finding the Third Proportional to 4 and 6.75

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Solution

The third proportional to 4 and 6.75 is: 11.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4 : 6.75 = 6.75 : x
  2. Step 2: Convert to fraction form
    4/6.75 = 6.75/x
  3. Step 3: Cross multiply
    4x = 6.75 × 6.75
  4. Step 4: Simplify right side
    4x = 45.56
  5. Step 5: Solve for x
    x = 45.56/4
  6. Step 6: Final answer
    x = 11.39

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.