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Finding the Third Proportional to 31.97 and 68.91

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Solution

The third proportional to 31.97 and 68.91 is: 148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.97 : 68.91 = 68.91 : x
  2. Step 2: Convert to fraction form
    31.97/68.91 = 68.91/x
  3. Step 3: Cross multiply
    31.97x = 68.91 × 68.91
  4. Step 4: Simplify right side
    31.97x = 4,748.07
  5. Step 5: Solve for x
    x = 4,748.07/31.97
  6. Step 6: Final answer
    x = 148.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.