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Finding the Third Proportional to 34.27 and 74.95

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Solution

The third proportional to 34.27 and 74.95 is: 163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.27 : 74.95 = 74.95 : x
  2. Step 2: Convert to fraction form
    34.27/74.95 = 74.95/x
  3. Step 3: Cross multiply
    34.27x = 74.95 × 74.95
  4. Step 4: Simplify right side
    34.27x = 5,617.97
  5. Step 5: Solve for x
    x = 5,617.97/34.27
  6. Step 6: Final answer
    x = 163.95

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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.