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Finding the Third Proportional to 7.07 and 16.71

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Solution

The third proportional to 7.07 and 16.71 is: 39.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.07 : 16.71 = 16.71 : x
  2. Step 2: Convert to fraction form
    7.07/16.71 = 16.71/x
  3. Step 3: Cross multiply
    7.07x = 16.71 × 16.71
  4. Step 4: Simplify right side
    7.07x = 279.31
  5. Step 5: Solve for x
    x = 279.31/7.07
  6. Step 6: Final answer
    x = 39.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.