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Finding the Third Proportional to 31.71 and 68.49

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Solution

The third proportional to 31.71 and 68.49 is: 147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.71 : 68.49 = 68.49 : x
  2. Step 2: Convert to fraction form
    31.71/68.49 = 68.49/x
  3. Step 3: Cross multiply
    31.71x = 68.49 × 68.49
  4. Step 4: Simplify right side
    31.71x = 4,690.42
  5. Step 5: Solve for x
    x = 4,690.42/31.71
  6. Step 6: Final answer
    x = 147.93

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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.