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Finding the Third Proportional to 7.07 and 16.72

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Solution

The third proportional to 7.07 and 16.72 is: 39.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.07 : 16.72 = 16.72 : x
  2. Step 2: Convert to fraction form
    7.07/16.72 = 16.72/x
  3. Step 3: Cross multiply
    7.07x = 16.72 × 16.72
  4. Step 4: Simplify right side
    7.07x = 279.45
  5. Step 5: Solve for x
    x = 279.45/7.07
  6. Step 6: Final answer
    x = 39.55

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.