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Finding the Third Proportional to 172,491 and 378,192

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Solution

The third proportional to 172,491 and 378,192 is: 829,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,491 : 378,192 = 378,192 : x
  2. Step 2: Convert to fraction form
    172,491/378,192 = 378,192/x
  3. Step 3: Cross multiply
    172,491x = 378,192 × 378,192
  4. Step 4: Simplify right side
    172,491x = 143,029,188,864
  5. Step 5: Solve for x
    x = 143,029,188,864/172,491
  6. Step 6: Final answer
    x = 829,197.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.