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Finding the Third Proportional to 83.39 and 109.62

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Solution

The third proportional to 83.39 and 109.62 is: 144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.39 : 109.62 = 109.62 : x
  2. Step 2: Convert to fraction form
    83.39/109.62 = 109.62/x
  3. Step 3: Cross multiply
    83.39x = 109.62 × 109.62
  4. Step 4: Simplify right side
    83.39x = 12,015.93
  5. Step 5: Solve for x
    x = 12,015.93/83.39
  6. Step 6: Final answer
    x = 144.09

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.