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Finding the Third Proportional to 324,872 and 518,412

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Solution

The third proportional to 324,872 and 518,412 is: 827,251.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,872 : 518,412 = 518,412 : x
  2. Step 2: Convert to fraction form
    324,872/518,412 = 518,412/x
  3. Step 3: Cross multiply
    324,872x = 518,412 × 518,412
  4. Step 4: Simplify right side
    324,872x = 268,751,001,744
  5. Step 5: Solve for x
    x = 268,751,001,744/324,872
  6. Step 6: Final answer
    x = 827,251.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.