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Finding the Third Proportional to 381.59 and 504.04

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Solution

The third proportional to 381.59 and 504.04 is: 665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.59 : 504.04 = 504.04 : x
  2. Step 2: Convert to fraction form
    381.59/504.04 = 504.04/x
  3. Step 3: Cross multiply
    381.59x = 504.04 × 504.04
  4. Step 4: Simplify right side
    381.59x = 254,051.44
  5. Step 5: Solve for x
    x = 254,051.44/381.59
  6. Step 6: Final answer
    x = 665.78

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.