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Finding the Third Proportional to 120,539,907 and 261,628,866

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Solution

The third proportional to 120,539,907 and 261,628,866 is: 567,858,937.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,539,907 : 261,628,866 = 261,628,866 : x
  2. Step 2: Convert to fraction form
    120,539,907/261,628,866 = 261,628,866/x
  3. Step 3: Cross multiply
    120,539,907x = 261,628,866 × 261,628,866
  4. Step 4: Simplify right side
    120,539,907x = 68,449,663,524,445,952
  5. Step 5: Solve for x
    x = 68,449,663,524,445,952/120,539,907
  6. Step 6: Final answer
    x = 567,858,937.58

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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.