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Finding the Third Proportional to 74.25 and 137

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Solution

The third proportional to 74.25 and 137 is: 252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.25 : 137 = 137 : x
  2. Step 2: Convert to fraction form
    74.25/137 = 137/x
  3. Step 3: Cross multiply
    74.25x = 137 × 137
  4. Step 4: Simplify right side
    74.25x = 18,769
  5. Step 5: Solve for x
    x = 18,769/74.25
  6. Step 6: Final answer
    x = 252.78

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.