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Finding the Third Proportional to 381,669 and 518,343

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Solution

The third proportional to 381,669 and 518,343 is: 703,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,669 : 518,343 = 518,343 : x
  2. Step 2: Convert to fraction form
    381,669/518,343 = 518,343/x
  3. Step 3: Cross multiply
    381,669x = 518,343 × 518,343
  4. Step 4: Simplify right side
    381,669x = 268,679,465,649
  5. Step 5: Solve for x
    x = 268,679,465,649/381,669
  6. Step 6: Final answer
    x = 703,959.36

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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.