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Finding the Third Proportional to 239,329 and 518,282

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Solution

The third proportional to 239,329 and 518,282 is: 1,122,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,329 : 518,282 = 518,282 : x
  2. Step 2: Convert to fraction form
    239,329/518,282 = 518,282/x
  3. Step 3: Cross multiply
    239,329x = 518,282 × 518,282
  4. Step 4: Simplify right side
    239,329x = 268,616,231,524
  5. Step 5: Solve for x
    x = 268,616,231,524/239,329
  6. Step 6: Final answer
    x = 1,122,372.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.