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Finding the Third Proportional to 386.44 and 849.94

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Solution

The third proportional to 386.44 and 849.94 is: 1,869.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.44 : 849.94 = 849.94 : x
  2. Step 2: Convert to fraction form
    386.44/849.94 = 849.94/x
  3. Step 3: Cross multiply
    386.44x = 849.94 × 849.94
  4. Step 4: Simplify right side
    386.44x = 722,393.75
  5. Step 5: Solve for x
    x = 722,393.75/386.44
  6. Step 6: Final answer
    x = 1,869.37

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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.