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Finding the Third Proportional to 83.67 and 163.55

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Solution

The third proportional to 83.67 and 163.55 is: 319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.67 : 163.55 = 163.55 : x
  2. Step 2: Convert to fraction form
    83.67/163.55 = 163.55/x
  3. Step 3: Cross multiply
    83.67x = 163.55 × 163.55
  4. Step 4: Simplify right side
    83.67x = 26,747.58
  5. Step 5: Solve for x
    x = 26,747.58/83.67
  6. Step 6: Final answer
    x = 319.67

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.