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Finding the Third Proportional to 83.74 and 135.42

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Solution

The third proportional to 83.74 and 135.42 is: 218.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.74 : 135.42 = 135.42 : x
  2. Step 2: Convert to fraction form
    83.74/135.42 = 135.42/x
  3. Step 3: Cross multiply
    83.74x = 135.42 × 135.42
  4. Step 4: Simplify right side
    83.74x = 18,339.08
  5. Step 5: Solve for x
    x = 18,339.08/83.74
  6. Step 6: Final answer
    x = 218.99

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.