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Finding the Third Proportional to 6.77 and 7.29

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Solution

The third proportional to 6.77 and 7.29 is: 7.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.77 : 7.29 = 7.29 : x
  2. Step 2: Convert to fraction form
    6.77/7.29 = 7.29/x
  3. Step 3: Cross multiply
    6.77x = 7.29 × 7.29
  4. Step 4: Simplify right side
    6.77x = 53.15
  5. Step 5: Solve for x
    x = 53.15/6.77
  6. Step 6: Final answer
    x = 7.85

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.