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Finding the Third Proportional to 90.23 and 196.27

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Solution

The third proportional to 90.23 and 196.27 is: 426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.23 : 196.27 = 196.27 : x
  2. Step 2: Convert to fraction form
    90.23/196.27 = 196.27/x
  3. Step 3: Cross multiply
    90.23x = 196.27 × 196.27
  4. Step 4: Simplify right side
    90.23x = 38,520.20
  5. Step 5: Solve for x
    x = 38,520.20/90.23
  6. Step 6: Final answer
    x = 426.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.