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Finding the Third Proportional to 83.44 and 143.53

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Solution

The third proportional to 83.44 and 143.53 is: 246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.44 : 143.53 = 143.53 : x
  2. Step 2: Convert to fraction form
    83.44/143.53 = 143.53/x
  3. Step 3: Cross multiply
    83.44x = 143.53 × 143.53
  4. Step 4: Simplify right side
    83.44x = 20,601.22
  5. Step 5: Solve for x
    x = 20,601.22/83.44
  6. Step 6: Final answer
    x = 246.91

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.