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Finding the Third Proportional to 437.75 and 937.25

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Solution

The third proportional to 437.75 and 937.25 is: 2,006.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.75 : 937.25 = 937.25 : x
  2. Step 2: Convert to fraction form
    437.75/937.25 = 937.25/x
  3. Step 3: Cross multiply
    437.75x = 937.25 × 937.25
  4. Step 4: Simplify right side
    437.75x = 878,437.56
  5. Step 5: Solve for x
    x = 878,437.56/437.75
  6. Step 6: Final answer
    x = 2,006.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.