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Finding the Third Proportional to 381.73 and 622.27

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Solution

The third proportional to 381.73 and 622.27 is: 1,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.73 : 622.27 = 622.27 : x
  2. Step 2: Convert to fraction form
    381.73/622.27 = 622.27/x
  3. Step 3: Cross multiply
    381.73x = 622.27 × 622.27
  4. Step 4: Simplify right side
    381.73x = 387,214.51
  5. Step 5: Solve for x
    x = 387,214.51/381.73
  6. Step 6: Final answer
    x = 1,014.38

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.