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Finding the Third Proportional to 177,978 and 378,563

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Solution

The third proportional to 177,978 and 378,563 is: 805,211.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,978 : 378,563 = 378,563 : x
  2. Step 2: Convert to fraction form
    177,978/378,563 = 378,563/x
  3. Step 3: Cross multiply
    177,978x = 378,563 × 378,563
  4. Step 4: Simplify right side
    177,978x = 143,309,944,969
  5. Step 5: Solve for x
    x = 143,309,944,969/177,978
  6. Step 6: Final answer
    x = 805,211.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.