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Finding the Third Proportional to 198.94 and 282.56

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Solution

The third proportional to 198.94 and 282.56 is: 401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.94 : 282.56 = 282.56 : x
  2. Step 2: Convert to fraction form
    198.94/282.56 = 282.56/x
  3. Step 3: Cross multiply
    198.94x = 282.56 × 282.56
  4. Step 4: Simplify right side
    198.94x = 79,841.57
  5. Step 5: Solve for x
    x = 79,841.57/198.94
  6. Step 6: Final answer
    x = 401.34

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.