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Finding the Third Proportional to 297,383,836 and 644,192,499

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Solution

The third proportional to 297,383,836 and 644,192,499 is: 1,395,448,997.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,383,836 : 644,192,499 = 644,192,499 : x
  2. Step 2: Convert to fraction form
    297,383,836/644,192,499 = 644,192,499/x
  3. Step 3: Cross multiply
    297,383,836x = 644,192,499 × 644,192,499
  4. Step 4: Simplify right side
    297,383,836x = 414,983,975,767,865,024
  5. Step 5: Solve for x
    x = 414,983,975,767,865,024/297,383,836
  6. Step 6: Final answer
    x = 1,395,448,997.33

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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.