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Finding the Third Proportional to 126.94 and 197.81

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Solution

The third proportional to 126.94 and 197.81 is: 308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.94 : 197.81 = 197.81 : x
  2. Step 2: Convert to fraction form
    126.94/197.81 = 197.81/x
  3. Step 3: Cross multiply
    126.94x = 197.81 × 197.81
  4. Step 4: Simplify right side
    126.94x = 39,129.79
  5. Step 5: Solve for x
    x = 39,129.79/126.94
  6. Step 6: Final answer
    x = 308.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.