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Finding the Third Proportional to 391.78 and 927.84

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Solution

The third proportional to 391.78 and 927.84 is: 2,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.78 : 927.84 = 927.84 : x
  2. Step 2: Convert to fraction form
    391.78/927.84 = 927.84/x
  3. Step 3: Cross multiply
    391.78x = 927.84 × 927.84
  4. Step 4: Simplify right side
    391.78x = 860,894.02
  5. Step 5: Solve for x
    x = 860,894.02/391.78
  6. Step 6: Final answer
    x = 2,197.38

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.