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Finding the Third Proportional to 91 and 196.38

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Solution

The third proportional to 91 and 196.38 is: 423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91 : 196.38 = 196.38 : x
  2. Step 2: Convert to fraction form
    91/196.38 = 196.38/x
  3. Step 3: Cross multiply
    91x = 196.38 × 196.38
  4. Step 4: Simplify right side
    91x = 38,563.14
  5. Step 5: Solve for x
    x = 38,563.14/91
  6. Step 6: Final answer
    x = 423.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.