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Finding the Third Proportional to 3.86 and 7.07

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Solution

The third proportional to 3.86 and 7.07 is: 12.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.86 : 7.07 = 7.07 : x
  2. Step 2: Convert to fraction form
    3.86/7.07 = 7.07/x
  3. Step 3: Cross multiply
    3.86x = 7.07 × 7.07
  4. Step 4: Simplify right side
    3.86x = 49.99
  5. Step 5: Solve for x
    x = 49.99/3.86
  6. Step 6: Final answer
    x = 12.96

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.