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Finding the Third Proportional to 394.03 and 855.14

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Solution

The third proportional to 394.03 and 855.14 is: 1,855.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.03 : 855.14 = 855.14 : x
  2. Step 2: Convert to fraction form
    394.03/855.14 = 855.14/x
  3. Step 3: Cross multiply
    394.03x = 855.14 × 855.14
  4. Step 4: Simplify right side
    394.03x = 731,265.49
  5. Step 5: Solve for x
    x = 731,265.49/394.03
  6. Step 6: Final answer
    x = 1,855.86

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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.