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Finding the Third Proportional to 175,398 and 378,824

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Solution

The third proportional to 175,398 and 378,824 is: 818,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,398 : 378,824 = 378,824 : x
  2. Step 2: Convert to fraction form
    175,398/378,824 = 378,824/x
  3. Step 3: Cross multiply
    175,398x = 378,824 × 378,824
  4. Step 4: Simplify right side
    175,398x = 143,507,622,976
  5. Step 5: Solve for x
    x = 143,507,622,976/175,398
  6. Step 6: Final answer
    x = 818,182.78

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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.