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Finding the Third Proportional to 81.88 and 203.38

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Solution

The third proportional to 81.88 and 203.38 is: 505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.88 : 203.38 = 203.38 : x
  2. Step 2: Convert to fraction form
    81.88/203.38 = 203.38/x
  3. Step 3: Cross multiply
    81.88x = 203.38 × 203.38
  4. Step 4: Simplify right side
    81.88x = 41,361.39
  5. Step 5: Solve for x
    x = 41,361.39/81.88
  6. Step 6: Final answer
    x = 505.18

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.