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Finding the Third Proportional to 96.93 and 143.49

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Solution

The third proportional to 96.93 and 143.49 is: 212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.93 : 143.49 = 143.49 : x
  2. Step 2: Convert to fraction form
    96.93/143.49 = 143.49/x
  3. Step 3: Cross multiply
    96.93x = 143.49 × 143.49
  4. Step 4: Simplify right side
    96.93x = 20,589.45
  5. Step 5: Solve for x
    x = 20,589.45/96.93
  6. Step 6: Final answer
    x = 212.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.