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Finding the Third Proportional to 408,351,384 and 627,665,256

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Solution

The third proportional to 408,351,384 and 627,665,256 is: 964,766,348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,351,384 : 627,665,256 = 627,665,256 : x
  2. Step 2: Convert to fraction form
    408,351,384/627,665,256 = 627,665,256/x
  3. Step 3: Cross multiply
    408,351,384x = 627,665,256 × 627,665,256
  4. Step 4: Simplify right side
    408,351,384x = 393,963,673,589,545,536
  5. Step 5: Solve for x
    x = 393,963,673,589,545,536/408,351,384
  6. Step 6: Final answer
    x = 964,766,348.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.