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Finding the Third Proportional to 409.25 and 849.88

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Solution

The third proportional to 409.25 and 849.88 is: 1,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.25 : 849.88 = 849.88 : x
  2. Step 2: Convert to fraction form
    409.25/849.88 = 849.88/x
  3. Step 3: Cross multiply
    409.25x = 849.88 × 849.88
  4. Step 4: Simplify right side
    409.25x = 722,287.52
  5. Step 5: Solve for x
    x = 722,287.52/409.25
  6. Step 6: Final answer
    x = 1,764.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.