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Finding the Third Proportional to 192,923 and 423,194

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Solution

The third proportional to 192,923 and 423,194 is: 928,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,923 : 423,194 = 423,194 : x
  2. Step 2: Convert to fraction form
    192,923/423,194 = 423,194/x
  3. Step 3: Cross multiply
    192,923x = 423,194 × 423,194
  4. Step 4: Simplify right side
    192,923x = 179,093,161,636
  5. Step 5: Solve for x
    x = 179,093,161,636/192,923
  6. Step 6: Final answer
    x = 928,314.21

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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.