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Finding the Third Proportional to 322,895,872 and 688,843,568

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Solution

The third proportional to 322,895,872 and 688,843,568 is: 1,469,530,899.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,895,872 : 688,843,568 = 688,843,568 : x
  2. Step 2: Convert to fraction form
    322,895,872/688,843,568 = 688,843,568/x
  3. Step 3: Cross multiply
    322,895,872x = 688,843,568 × 688,843,568
  4. Step 4: Simplify right side
    322,895,872x = 474,505,461,174,970,624
  5. Step 5: Solve for x
    x = 474,505,461,174,970,624/322,895,872
  6. Step 6: Final answer
    x = 1,469,530,899.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.