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Finding the Third Proportional to 279.94 and 381.28

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Solution

The third proportional to 279.94 and 381.28 is: 519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.94 : 381.28 = 381.28 : x
  2. Step 2: Convert to fraction form
    279.94/381.28 = 381.28/x
  3. Step 3: Cross multiply
    279.94x = 381.28 × 381.28
  4. Step 4: Simplify right side
    279.94x = 145,375.39
  5. Step 5: Solve for x
    x = 145,375.39/279.94
  6. Step 6: Final answer
    x = 519.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.