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Finding the Third Proportional to 211,380,612 and 297,672,228

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Solution

The third proportional to 211,380,612 and 297,672,228 is: 419,190,551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,380,612 : 297,672,228 = 297,672,228 : x
  2. Step 2: Convert to fraction form
    211,380,612/297,672,228 = 297,672,228/x
  3. Step 3: Cross multiply
    211,380,612x = 297,672,228 × 297,672,228
  4. Step 4: Simplify right side
    211,380,612x = 88,608,755,322,483,984
  5. Step 5: Solve for x
    x = 88,608,755,322,483,984/211,380,612
  6. Step 6: Final answer
    x = 419,190,551.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.