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Finding the Third Proportional to 83.79 and 126.21

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Solution

The third proportional to 83.79 and 126.21 is: 190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.79 : 126.21 = 126.21 : x
  2. Step 2: Convert to fraction form
    83.79/126.21 = 126.21/x
  3. Step 3: Cross multiply
    83.79x = 126.21 × 126.21
  4. Step 4: Simplify right side
    83.79x = 15,929.20
  5. Step 5: Solve for x
    x = 15,929.20/83.79
  6. Step 6: Final answer
    x = 190.11

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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.