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Finding the Third Proportional to 34.94 and 74.47

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Solution

The third proportional to 34.94 and 74.47 is: 158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.94 : 74.47 = 74.47 : x
  2. Step 2: Convert to fraction form
    34.94/74.47 = 74.47/x
  3. Step 3: Cross multiply
    34.94x = 74.47 × 74.47
  4. Step 4: Simplify right side
    34.94x = 5,545.59
  5. Step 5: Solve for x
    x = 5,545.59/34.94
  6. Step 6: Final answer
    x = 158.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.