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Finding the Third Proportional to 391.39 and 850.82

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Solution

The third proportional to 391.39 and 850.82 is: 1,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.39 : 850.82 = 850.82 : x
  2. Step 2: Convert to fraction form
    391.39/850.82 = 850.82/x
  3. Step 3: Cross multiply
    391.39x = 850.82 × 850.82
  4. Step 4: Simplify right side
    391.39x = 723,888.56
  5. Step 5: Solve for x
    x = 723,888.56/391.39
  6. Step 6: Final answer
    x = 1,849.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.