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Finding the Third Proportional to 284,656 and 613,296

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Solution

The third proportional to 284,656 and 613,296 is: 1,321,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,656 : 613,296 = 613,296 : x
  2. Step 2: Convert to fraction form
    284,656/613,296 = 613,296/x
  3. Step 3: Cross multiply
    284,656x = 613,296 × 613,296
  4. Step 4: Simplify right side
    284,656x = 376,131,983,616
  5. Step 5: Solve for x
    x = 376,131,983,616/284,656
  6. Step 6: Final answer
    x = 1,321,356.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.