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Finding the Third Proportional to 381.47 and 851.44

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Solution

The third proportional to 381.47 and 851.44 is: 1,900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.47 : 851.44 = 851.44 : x
  2. Step 2: Convert to fraction form
    381.47/851.44 = 851.44/x
  3. Step 3: Cross multiply
    381.47x = 851.44 × 851.44
  4. Step 4: Simplify right side
    381.47x = 724,945.82
  5. Step 5: Solve for x
    x = 724,945.82/381.47
  6. Step 6: Final answer
    x = 1,900.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.