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Finding the Third Proportional to 386.75 and 850.39

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Solution

The third proportional to 386.75 and 850.39 is: 1,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.75 : 850.39 = 850.39 : x
  2. Step 2: Convert to fraction form
    386.75/850.39 = 850.39/x
  3. Step 3: Cross multiply
    386.75x = 850.39 × 850.39
  4. Step 4: Simplify right side
    386.75x = 723,170.86
  5. Step 5: Solve for x
    x = 723,170.86/386.75
  6. Step 6: Final answer
    x = 1,869.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.