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Finding the Third Proportional to 192,314 and 421,531

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Solution

The third proportional to 192,314 and 421,531 is: 923,949.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,314 : 421,531 = 421,531 : x
  2. Step 2: Convert to fraction form
    192,314/421,531 = 421,531/x
  3. Step 3: Cross multiply
    192,314x = 421,531 × 421,531
  4. Step 4: Simplify right side
    192,314x = 177,688,383,961
  5. Step 5: Solve for x
    x = 177,688,383,961/192,314
  6. Step 6: Final answer
    x = 923,949.29

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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.