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Finding the Third Proportional to 7.07 and 15.71

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Solution

The third proportional to 7.07 and 15.71 is: 34.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.07 : 15.71 = 15.71 : x
  2. Step 2: Convert to fraction form
    7.07/15.71 = 15.71/x
  3. Step 3: Cross multiply
    7.07x = 15.71 × 15.71
  4. Step 4: Simplify right side
    7.07x = 246.96
  5. Step 5: Solve for x
    x = 246.96/7.07
  6. Step 6: Final answer
    x = 34.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.