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Finding the Third Proportional to 173,727 and 379,439

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Solution

The third proportional to 173,727 and 379,439 is: 828,736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,727 : 379,439 = 379,439 : x
  2. Step 2: Convert to fraction form
    173,727/379,439 = 379,439/x
  3. Step 3: Cross multiply
    173,727x = 379,439 × 379,439
  4. Step 4: Simplify right side
    173,727x = 143,973,954,721
  5. Step 5: Solve for x
    x = 143,973,954,721/173,727
  6. Step 6: Final answer
    x = 828,736.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.