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Finding the Third Proportional to 188,932 and 399,192

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Solution

The third proportional to 188,932 and 399,192 is: 843,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,932 : 399,192 = 399,192 : x
  2. Step 2: Convert to fraction form
    188,932/399,192 = 399,192/x
  3. Step 3: Cross multiply
    188,932x = 399,192 × 399,192
  4. Step 4: Simplify right side
    188,932x = 159,354,252,864
  5. Step 5: Solve for x
    x = 159,354,252,864/188,932
  6. Step 6: Final answer
    x = 843,447.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.