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Finding the Third Proportional to 193,740 and 399,864

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Solution

The third proportional to 193,740 and 399,864 is: 825,287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,740 : 399,864 = 399,864 : x
  2. Step 2: Convert to fraction form
    193,740/399,864 = 399,864/x
  3. Step 3: Cross multiply
    193,740x = 399,864 × 399,864
  4. Step 4: Simplify right side
    193,740x = 159,891,218,496
  5. Step 5: Solve for x
    x = 159,891,218,496/193,740
  6. Step 6: Final answer
    x = 825,287.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.