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Finding the Third Proportional to 31.42 and 79.97

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Solution

The third proportional to 31.42 and 79.97 is: 203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.42 : 79.97 = 79.97 : x
  2. Step 2: Convert to fraction form
    31.42/79.97 = 79.97/x
  3. Step 3: Cross multiply
    31.42x = 79.97 × 79.97
  4. Step 4: Simplify right side
    31.42x = 6,395.00
  5. Step 5: Solve for x
    x = 6,395.00/31.42
  6. Step 6: Final answer
    x = 203.52

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Why These Related Problems?

These problems maintain the same ratio (2.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.