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Finding the Third Proportional to 198,144 and 415,872

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Solution

The third proportional to 198,144 and 415,872 is: 872,847.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,144 : 415,872 = 415,872 : x
  2. Step 2: Convert to fraction form
    198,144/415,872 = 415,872/x
  3. Step 3: Cross multiply
    198,144x = 415,872 × 415,872
  4. Step 4: Simplify right side
    198,144x = 172,949,520,384
  5. Step 5: Solve for x
    x = 172,949,520,384/198,144
  6. Step 6: Final answer
    x = 872,847.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.