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Finding the Third Proportional to 192,110 and 421,586

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Solution

The third proportional to 192,110 and 421,586 is: 925,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,110 : 421,586 = 421,586 : x
  2. Step 2: Convert to fraction form
    192,110/421,586 = 421,586/x
  3. Step 3: Cross multiply
    192,110x = 421,586 × 421,586
  4. Step 4: Simplify right side
    192,110x = 177,734,755,396
  5. Step 5: Solve for x
    x = 177,734,755,396/192,110
  6. Step 6: Final answer
    x = 925,171.80

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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.