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Finding the Third Proportional to 297,383,833.50 and 644,192,495

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Solution

The third proportional to 297,383,833.50 and 644,192,495 is: 1,395,448,991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,383,833.50 : 644,192,495 = 644,192,495 : x
  2. Step 2: Convert to fraction form
    297,383,833.50/644,192,495 = 644,192,495/x
  3. Step 3: Cross multiply
    297,383,833.50x = 644,192,495 × 644,192,495
  4. Step 4: Simplify right side
    297,383,833.50x = 414,983,970,614,325,056
  5. Step 5: Solve for x
    x = 414,983,970,614,325,056/297,383,833.50
  6. Step 6: Final answer
    x = 1,395,448,991.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.