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Finding the Third Proportional to 125.81 and 198.94

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Solution

The third proportional to 125.81 and 198.94 is: 314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.81 : 198.94 = 198.94 : x
  2. Step 2: Convert to fraction form
    125.81/198.94 = 198.94/x
  3. Step 3: Cross multiply
    125.81x = 198.94 × 198.94
  4. Step 4: Simplify right side
    125.81x = 39,576.13
  5. Step 5: Solve for x
    x = 39,576.13/125.81
  6. Step 6: Final answer
    x = 314.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.