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Finding the Third Proportional to 381,669 and 518,344.50

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Solution

The third proportional to 381,669 and 518,344.50 is: 703,963.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,669 : 518,344.50 = 518,344.50 : x
  2. Step 2: Convert to fraction form
    381,669/518,344.50 = 518,344.50/x
  3. Step 3: Cross multiply
    381,669x = 518,344.50 × 518,344.50
  4. Step 4: Simplify right side
    381,669x = 268,681,020,680.25
  5. Step 5: Solve for x
    x = 268,681,020,680.25/381,669
  6. Step 6: Final answer
    x = 703,963.44

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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.