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Finding the Third Proportional to 91.75 and 133.63

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Solution

The third proportional to 91.75 and 133.63 is: 194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.75 : 133.63 = 133.63 : x
  2. Step 2: Convert to fraction form
    91.75/133.63 = 133.63/x
  3. Step 3: Cross multiply
    91.75x = 133.63 × 133.63
  4. Step 4: Simplify right side
    91.75x = 17,855.64
  5. Step 5: Solve for x
    x = 17,855.64/91.75
  6. Step 6: Final answer
    x = 194.61

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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.