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Finding the Third Proportional to 5.11 and 6.49

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Solution

The third proportional to 5.11 and 6.49 is: 8.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.11 : 6.49 = 6.49 : x
  2. Step 2: Convert to fraction form
    5.11/6.49 = 6.49/x
  3. Step 3: Cross multiply
    5.11x = 6.49 × 6.49
  4. Step 4: Simplify right side
    5.11x = 42.15
  5. Step 5: Solve for x
    x = 42.15/5.11
  6. Step 6: Final answer
    x = 8.25

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.