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Finding the Third Proportional to 185,836 and 397,904

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Solution

The third proportional to 185,836 and 397,904 is: 851,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,836 : 397,904 = 397,904 : x
  2. Step 2: Convert to fraction form
    185,836/397,904 = 397,904/x
  3. Step 3: Cross multiply
    185,836x = 397,904 × 397,904
  4. Step 4: Simplify right side
    185,836x = 158,327,593,216
  5. Step 5: Solve for x
    x = 158,327,593,216/185,836
  6. Step 6: Final answer
    x = 851,974.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.