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Finding the Third Proportional to 96 and 143.38

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Solution

The third proportional to 96 and 143.38 is: 214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96 : 143.38 = 143.38 : x
  2. Step 2: Convert to fraction form
    96/143.38 = 143.38/x
  3. Step 3: Cross multiply
    96x = 143.38 × 143.38
  4. Step 4: Simplify right side
    96x = 20,556.39
  5. Step 5: Solve for x
    x = 20,556.39/96
  6. Step 6: Final answer
    x = 214.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.