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Finding the Third Proportional to 381.75 and 520.88

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Solution

The third proportional to 381.75 and 520.88 is: 710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.75 : 520.88 = 520.88 : x
  2. Step 2: Convert to fraction form
    381.75/520.88 = 520.88/x
  3. Step 3: Cross multiply
    381.75x = 520.88 × 520.88
  4. Step 4: Simplify right side
    381.75x = 271,310.77
  5. Step 5: Solve for x
    x = 271,310.77/381.75
  6. Step 6: Final answer
    x = 710.70

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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.