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Finding the Third Proportional to 172,970 and 379,993

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Solution

The third proportional to 172,970 and 379,993 is: 834,796.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,970 : 379,993 = 379,993 : x
  2. Step 2: Convert to fraction form
    172,970/379,993 = 379,993/x
  3. Step 3: Cross multiply
    172,970x = 379,993 × 379,993
  4. Step 4: Simplify right side
    172,970x = 144,394,680,049
  5. Step 5: Solve for x
    x = 144,394,680,049/172,970
  6. Step 6: Final answer
    x = 834,796.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.