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Finding the Third Proportional to 381,667 and 518,340

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Solution

The third proportional to 381,667 and 518,340 is: 703,954.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,667 : 518,340 = 518,340 : x
  2. Step 2: Convert to fraction form
    381,667/518,340 = 518,340/x
  3. Step 3: Cross multiply
    381,667x = 518,340 × 518,340
  4. Step 4: Simplify right side
    381,667x = 268,676,355,600
  5. Step 5: Solve for x
    x = 268,676,355,600/381,667
  6. Step 6: Final answer
    x = 703,954.90

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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.