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Finding the Third Proportional to 391.92 and 845.72

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Solution

The third proportional to 391.92 and 845.72 is: 1,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.92 : 845.72 = 845.72 : x
  2. Step 2: Convert to fraction form
    391.92/845.72 = 845.72/x
  3. Step 3: Cross multiply
    391.92x = 845.72 × 845.72
  4. Step 4: Simplify right side
    391.92x = 715,240.20
  5. Step 5: Solve for x
    x = 715,240.20/391.92
  6. Step 6: Final answer
    x = 1,824.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.