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Finding the Third Proportional to 172,800 and 379,392

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Solution

The third proportional to 172,800 and 379,392 is: 832,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,800 : 379,392 = 379,392 : x
  2. Step 2: Convert to fraction form
    172,800/379,392 = 379,392/x
  3. Step 3: Cross multiply
    172,800x = 379,392 × 379,392
  4. Step 4: Simplify right side
    172,800x = 143,938,289,664
  5. Step 5: Solve for x
    x = 143,938,289,664/172,800
  6. Step 6: Final answer
    x = 832,976.21

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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.