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Finding the Third Proportional to 31.08 and 67.92

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Solution

The third proportional to 31.08 and 67.92 is: 148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.08 : 67.92 = 67.92 : x
  2. Step 2: Convert to fraction form
    31.08/67.92 = 67.92/x
  3. Step 3: Cross multiply
    31.08x = 67.92 × 67.92
  4. Step 4: Simplify right side
    31.08x = 4,613.38
  5. Step 5: Solve for x
    x = 4,613.38/31.08
  6. Step 6: Final answer
    x = 148.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.