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Finding the Third Proportional to 31.55 and 67.95

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Solution

The third proportional to 31.55 and 67.95 is: 146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.55 : 67.95 = 67.95 : x
  2. Step 2: Convert to fraction form
    31.55/67.95 = 67.95/x
  3. Step 3: Cross multiply
    31.55x = 67.95 × 67.95
  4. Step 4: Simplify right side
    31.55x = 4,616.57
  5. Step 5: Solve for x
    x = 4,616.57/31.55
  6. Step 6: Final answer
    x = 146.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.