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Finding the Third Proportional to 391.25 and 852.25

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Solution

The third proportional to 391.25 and 852.25 is: 1,856.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.25 : 852.25 = 852.25 : x
  2. Step 2: Convert to fraction form
    391.25/852.25 = 852.25/x
  3. Step 3: Cross multiply
    391.25x = 852.25 × 852.25
  4. Step 4: Simplify right side
    391.25x = 726,330.06
  5. Step 5: Solve for x
    x = 726,330.06/391.25
  6. Step 6: Final answer
    x = 1,856.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.