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Finding the Third Proportional to 381 and 540.75

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Solution

The third proportional to 381 and 540.75 is: 767.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381 : 540.75 = 540.75 : x
  2. Step 2: Convert to fraction form
    381/540.75 = 540.75/x
  3. Step 3: Cross multiply
    381x = 540.75 × 540.75
  4. Step 4: Simplify right side
    381x = 292,410.56
  5. Step 5: Solve for x
    x = 292,410.56/381
  6. Step 6: Final answer
    x = 767.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.