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Finding the Third Proportional to 91.55 and 191.67

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Solution

The third proportional to 91.55 and 191.67 is: 401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.55 : 191.67 = 191.67 : x
  2. Step 2: Convert to fraction form
    91.55/191.67 = 191.67/x
  3. Step 3: Cross multiply
    91.55x = 191.67 × 191.67
  4. Step 4: Simplify right side
    91.55x = 36,738.11
  5. Step 5: Solve for x
    x = 36,738.11/91.55
  6. Step 6: Final answer
    x = 401.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.