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Finding the Third Proportional to 392.82 and 818.23

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Solution

The third proportional to 392.82 and 818.23 is: 1,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.82 : 818.23 = 818.23 : x
  2. Step 2: Convert to fraction form
    392.82/818.23 = 818.23/x
  3. Step 3: Cross multiply
    392.82x = 818.23 × 818.23
  4. Step 4: Simplify right side
    392.82x = 669,494.71
  5. Step 5: Solve for x
    x = 669,494.71/392.82
  6. Step 6: Final answer
    x = 1,704.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.