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Finding the Third Proportional to 238,467 and 518,351

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Solution

The third proportional to 238,467 and 518,351 is: 1,126,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,467 : 518,351 = 518,351 : x
  2. Step 2: Convert to fraction form
    238,467/518,351 = 518,351/x
  3. Step 3: Cross multiply
    238,467x = 518,351 × 518,351
  4. Step 4: Simplify right side
    238,467x = 268,687,759,201
  5. Step 5: Solve for x
    x = 268,687,759,201/238,467
  6. Step 6: Final answer
    x = 1,126,729.31

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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.