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Finding the Third Proportional to 96.82 and 142.38

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Solution

The third proportional to 96.82 and 142.38 is: 209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.82 : 142.38 = 142.38 : x
  2. Step 2: Convert to fraction form
    96.82/142.38 = 142.38/x
  3. Step 3: Cross multiply
    96.82x = 142.38 × 142.38
  4. Step 4: Simplify right side
    96.82x = 20,272.87
  5. Step 5: Solve for x
    x = 20,272.87/96.82
  6. Step 6: Final answer
    x = 209.39

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.