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Finding the Third Proportional to 172,969 and 379,990

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Solution

The third proportional to 172,969 and 379,990 is: 834,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,969 : 379,990 = 379,990 : x
  2. Step 2: Convert to fraction form
    172,969/379,990 = 379,990/x
  3. Step 3: Cross multiply
    172,969x = 379,990 × 379,990
  4. Step 4: Simplify right side
    172,969x = 144,392,400,100
  5. Step 5: Solve for x
    x = 144,392,400,100/172,969
  6. Step 6: Final answer
    x = 834,787.74

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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.