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Finding the Third Proportional to 6.96 and 7.49

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Solution

The third proportional to 6.96 and 7.49 is: 8.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.96 : 7.49 = 7.49 : x
  2. Step 2: Convert to fraction form
    6.96/7.49 = 7.49/x
  3. Step 3: Cross multiply
    6.96x = 7.49 × 7.49
  4. Step 4: Simplify right side
    6.96x = 56.11
  5. Step 5: Solve for x
    x = 56.11/6.96
  6. Step 6: Final answer
    x = 8.07

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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.