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Finding the Third Proportional to 381,662 and 504,636

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Solution

The third proportional to 381,662 and 504,636 is: 667,233.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,662 : 504,636 = 504,636 : x
  2. Step 2: Convert to fraction form
    381,662/504,636 = 504,636/x
  3. Step 3: Cross multiply
    381,662x = 504,636 × 504,636
  4. Step 4: Simplify right side
    381,662x = 254,657,492,496
  5. Step 5: Solve for x
    x = 254,657,492,496/381,662
  6. Step 6: Final answer
    x = 667,233.03

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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.