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Finding the Third Proportional to 371.50 and 800.38

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Solution

The third proportional to 371.50 and 800.38 is: 1,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.50 : 800.38 = 800.38 : x
  2. Step 2: Convert to fraction form
    371.50/800.38 = 800.38/x
  3. Step 3: Cross multiply
    371.50x = 800.38 × 800.38
  4. Step 4: Simplify right side
    371.50x = 640,600.14
  5. Step 5: Solve for x
    x = 640,600.14/371.50
  6. Step 6: Final answer
    x = 1,724.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.