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Finding the Third Proportional to 126.84 and 191.65

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Solution

The third proportional to 126.84 and 191.65 is: 289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.84 : 191.65 = 191.65 : x
  2. Step 2: Convert to fraction form
    126.84/191.65 = 191.65/x
  3. Step 3: Cross multiply
    126.84x = 191.65 × 191.65
  4. Step 4: Simplify right side
    126.84x = 36,729.12
  5. Step 5: Solve for x
    x = 36,729.12/126.84
  6. Step 6: Final answer
    x = 289.56

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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.