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Finding the Third Proportional to 179,978 and 393,856

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Solution

The third proportional to 179,978 and 393,856 is: 861,897.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,978 : 393,856 = 393,856 : x
  2. Step 2: Convert to fraction form
    179,978/393,856 = 393,856/x
  3. Step 3: Cross multiply
    179,978x = 393,856 × 393,856
  4. Step 4: Simplify right side
    179,978x = 155,122,548,736
  5. Step 5: Solve for x
    x = 155,122,548,736/179,978
  6. Step 6: Final answer
    x = 861,897.28

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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.