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Finding the Third Proportional to 5.25 and 6.75

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Solution

The third proportional to 5.25 and 6.75 is: 8.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.25 : 6.75 = 6.75 : x
  2. Step 2: Convert to fraction form
    5.25/6.75 = 6.75/x
  3. Step 3: Cross multiply
    5.25x = 6.75 × 6.75
  4. Step 4: Simplify right side
    5.25x = 45.56
  5. Step 5: Solve for x
    x = 45.56/5.25
  6. Step 6: Final answer
    x = 8.68

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.