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Finding the Third Proportional to 131,828 and 284,392

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Solution

The third proportional to 131,828 and 284,392 is: 613,517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,828 : 284,392 = 284,392 : x
  2. Step 2: Convert to fraction form
    131,828/284,392 = 284,392/x
  3. Step 3: Cross multiply
    131,828x = 284,392 × 284,392
  4. Step 4: Simplify right side
    131,828x = 80,878,809,664
  5. Step 5: Solve for x
    x = 80,878,809,664/131,828
  6. Step 6: Final answer
    x = 613,517.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.