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Finding the Third Proportional to 91.76 and 134.19

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Solution

The third proportional to 91.76 and 134.19 is: 196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.76 : 134.19 = 134.19 : x
  2. Step 2: Convert to fraction form
    91.76/134.19 = 134.19/x
  3. Step 3: Cross multiply
    91.76x = 134.19 × 134.19
  4. Step 4: Simplify right side
    91.76x = 18,007.33
  5. Step 5: Solve for x
    x = 18,007.33/91.76
  6. Step 6: Final answer
    x = 196.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.