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Finding the Third Proportional to 206,838 and 284,828

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Solution

The third proportional to 206,838 and 284,828 is: 392,224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,838 : 284,828 = 284,828 : x
  2. Step 2: Convert to fraction form
    206,838/284,828 = 284,828/x
  3. Step 3: Cross multiply
    206,838x = 284,828 × 284,828
  4. Step 4: Simplify right side
    206,838x = 81,126,989,584
  5. Step 5: Solve for x
    x = 81,126,989,584/206,838
  6. Step 6: Final answer
    x = 392,224.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.