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Finding the Third Proportional to 126.82 and 191.60

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Solution

The third proportional to 126.82 and 191.60 is: 289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.82 : 191.60 = 191.60 : x
  2. Step 2: Convert to fraction form
    126.82/191.60 = 191.60/x
  3. Step 3: Cross multiply
    126.82x = 191.60 × 191.60
  4. Step 4: Simplify right side
    126.82x = 36,711.16
  5. Step 5: Solve for x
    x = 36,711.16/126.82
  6. Step 6: Final answer
    x = 289.47

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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.