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Finding the Third Proportional to 284,640 and 619,392

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Solution

The third proportional to 284,640 and 619,392 is: 1,347,830.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,640 : 619,392 = 619,392 : x
  2. Step 2: Convert to fraction form
    284,640/619,392 = 619,392/x
  3. Step 3: Cross multiply
    284,640x = 619,392 × 619,392
  4. Step 4: Simplify right side
    284,640x = 383,646,449,664
  5. Step 5: Solve for x
    x = 383,646,449,664/284,640
  6. Step 6: Final answer
    x = 1,347,830.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.