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Finding the Third Proportional to 175,383 and 378,790

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Solution

The third proportional to 175,383 and 378,790 is: 818,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,383 : 378,790 = 378,790 : x
  2. Step 2: Convert to fraction form
    175,383/378,790 = 378,790/x
  3. Step 3: Cross multiply
    175,383x = 378,790 × 378,790
  4. Step 4: Simplify right side
    175,383x = 143,481,864,100
  5. Step 5: Solve for x
    x = 143,481,864,100/175,383
  6. Step 6: Final answer
    x = 818,105.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.