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Finding the Third Proportional to 371.25 and 519.47

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Solution

The third proportional to 371.25 and 519.47 is: 726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.25 : 519.47 = 519.47 : x
  2. Step 2: Convert to fraction form
    371.25/519.47 = 519.47/x
  3. Step 3: Cross multiply
    371.25x = 519.47 × 519.47
  4. Step 4: Simplify right side
    371.25x = 269,847.78
  5. Step 5: Solve for x
    x = 269,847.78/371.25
  6. Step 6: Final answer
    x = 726.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.