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Finding the Third Proportional to 198.14 and 299.81

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Solution

The third proportional to 198.14 and 299.81 is: 453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.14 : 299.81 = 299.81 : x
  2. Step 2: Convert to fraction form
    198.14/299.81 = 299.81/x
  3. Step 3: Cross multiply
    198.14x = 299.81 × 299.81
  4. Step 4: Simplify right side
    198.14x = 89,887.54
  5. Step 5: Solve for x
    x = 89,887.54/198.14
  6. Step 6: Final answer
    x = 453.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.