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Finding the Third Proportional to 6.71 and 15.97

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Solution

The third proportional to 6.71 and 15.97 is: 38.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.71 : 15.97 = 15.97 : x
  2. Step 2: Convert to fraction form
    6.71/15.97 = 15.97/x
  3. Step 3: Cross multiply
    6.71x = 15.97 × 15.97
  4. Step 4: Simplify right side
    6.71x = 255.03
  5. Step 5: Solve for x
    x = 255.03/6.71
  6. Step 6: Final answer
    x = 38.00

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.