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Finding the Third Proportional to 392.45 and 852.29

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Solution

The third proportional to 392.45 and 852.29 is: 1,850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.45 : 852.29 = 852.29 : x
  2. Step 2: Convert to fraction form
    392.45/852.29 = 852.29/x
  3. Step 3: Cross multiply
    392.45x = 852.29 × 852.29
  4. Step 4: Simplify right side
    392.45x = 726,403.30
  5. Step 5: Solve for x
    x = 726,403.30/392.45
  6. Step 6: Final answer
    x = 1,850.95

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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.