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Finding the Third Proportional to 97.75 and 203.38

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Solution

The third proportional to 97.75 and 203.38 is: 423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.75 : 203.38 = 203.38 : x
  2. Step 2: Convert to fraction form
    97.75/203.38 = 203.38/x
  3. Step 3: Cross multiply
    97.75x = 203.38 × 203.38
  4. Step 4: Simplify right side
    97.75x = 41,361.39
  5. Step 5: Solve for x
    x = 41,361.39/97.75
  6. Step 6: Final answer
    x = 423.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.