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Finding the Third Proportional to 284,357 and 622,282

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Solution

The third proportional to 284,357 and 622,282 is: 1,361,791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,357 : 622,282 = 622,282 : x
  2. Step 2: Convert to fraction form
    284,357/622,282 = 622,282/x
  3. Step 3: Cross multiply
    284,357x = 622,282 × 622,282
  4. Step 4: Simplify right side
    284,357x = 387,234,887,524
  5. Step 5: Solve for x
    x = 387,234,887,524/284,357
  6. Step 6: Final answer
    x = 1,361,791.30

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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.