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Finding the Third Proportional to 335,206,839 and 721,643,721

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Solution

The third proportional to 335,206,839 and 721,643,721 is: 1,553,577,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,206,839 : 721,643,721 = 721,643,721 : x
  2. Step 2: Convert to fraction form
    335,206,839/721,643,721 = 721,643,721/x
  3. Step 3: Cross multiply
    335,206,839x = 721,643,721 × 721,643,721
  4. Step 4: Simplify right side
    335,206,839x = 520,769,660,058,725,824
  5. Step 5: Solve for x
    x = 520,769,660,058,725,824/335,206,839
  6. Step 6: Final answer
    x = 1,553,577,073.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.