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Finding the Third Proportional to 251,451,736 and 378,113,380

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Solution

The third proportional to 251,451,736 and 378,113,380 is: 568,577,216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,451,736 : 378,113,380 = 378,113,380 : x
  2. Step 2: Convert to fraction form
    251,451,736/378,113,380 = 378,113,380/x
  3. Step 3: Cross multiply
    251,451,736x = 378,113,380 × 378,113,380
  4. Step 4: Simplify right side
    251,451,736x = 142,969,728,135,024,400
  5. Step 5: Solve for x
    x = 142,969,728,135,024,400/251,451,736
  6. Step 6: Final answer
    x = 568,577,216.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.