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Finding the Third Proportional to 284,376 and 622,320

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Solution

The third proportional to 284,376 and 622,320 is: 1,361,866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,376 : 622,320 = 622,320 : x
  2. Step 2: Convert to fraction form
    284,376/622,320 = 622,320/x
  3. Step 3: Cross multiply
    284,376x = 622,320 × 622,320
  4. Step 4: Simplify right side
    284,376x = 387,282,182,400
  5. Step 5: Solve for x
    x = 387,282,182,400/284,376
  6. Step 6: Final answer
    x = 1,361,866.62

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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.