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Finding the Third Proportional to 381.50 and 905.75

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Solution

The third proportional to 381.50 and 905.75 is: 2,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.50 : 905.75 = 905.75 : x
  2. Step 2: Convert to fraction form
    381.50/905.75 = 905.75/x
  3. Step 3: Cross multiply
    381.50x = 905.75 × 905.75
  4. Step 4: Simplify right side
    381.50x = 820,383.06
  5. Step 5: Solve for x
    x = 820,383.06/381.50
  6. Step 6: Final answer
    x = 2,150.41

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.