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Finding the Third Proportional to 31.96 and 68.98

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Solution

The third proportional to 31.96 and 68.98 is: 148.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.96 : 68.98 = 68.98 : x
  2. Step 2: Convert to fraction form
    31.96/68.98 = 68.98/x
  3. Step 3: Cross multiply
    31.96x = 68.98 × 68.98
  4. Step 4: Simplify right side
    31.96x = 4,757.77
  5. Step 5: Solve for x
    x = 4,757.77/31.96
  6. Step 6: Final answer
    x = 148.88

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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.