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Finding the Third Proportional to 381,660 and 504,633

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Solution

The third proportional to 381,660 and 504,633 is: 667,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,660 : 504,633 = 504,633 : x
  2. Step 2: Convert to fraction form
    381,660/504,633 = 504,633/x
  3. Step 3: Cross multiply
    381,660x = 504,633 × 504,633
  4. Step 4: Simplify right side
    381,660x = 254,654,464,689
  5. Step 5: Solve for x
    x = 254,654,464,689/381,660
  6. Step 6: Final answer
    x = 667,228.59

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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.