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Finding the Third Proportional to 381.28 and 557.34

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Solution

The third proportional to 381.28 and 557.34 is: 814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.28 : 557.34 = 557.34 : x
  2. Step 2: Convert to fraction form
    381.28/557.34 = 557.34/x
  3. Step 3: Cross multiply
    381.28x = 557.34 × 557.34
  4. Step 4: Simplify right side
    381.28x = 310,632.06
  5. Step 5: Solve for x
    x = 310,632.06/381.28
  6. Step 6: Final answer
    x = 814.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.