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Finding the Third Proportional to 181,212 and 378,936

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Solution

The third proportional to 181,212 and 378,936 is: 792,400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,212 : 378,936 = 378,936 : x
  2. Step 2: Convert to fraction form
    181,212/378,936 = 378,936/x
  3. Step 3: Cross multiply
    181,212x = 378,936 × 378,936
  4. Step 4: Simplify right side
    181,212x = 143,592,492,096
  5. Step 5: Solve for x
    x = 143,592,492,096/181,212
  6. Step 6: Final answer
    x = 792,400.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.