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Finding the Third Proportional to 192,716 and 423,874

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Solution

The third proportional to 192,716 and 423,874 is: 932,300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,716 : 423,874 = 423,874 : x
  2. Step 2: Convert to fraction form
    192,716/423,874 = 423,874/x
  3. Step 3: Cross multiply
    192,716x = 423,874 × 423,874
  4. Step 4: Simplify right side
    192,716x = 179,669,167,876
  5. Step 5: Solve for x
    x = 179,669,167,876/192,716
  6. Step 6: Final answer
    x = 932,300.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.