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Finding the Third Proportional to 120,540,229 and 261,629,509

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Solution

The third proportional to 120,540,229 and 261,629,509 is: 567,860,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,540,229 : 261,629,509 = 261,629,509 : x
  2. Step 2: Convert to fraction form
    120,540,229/261,629,509 = 261,629,509/x
  3. Step 3: Cross multiply
    120,540,229x = 261,629,509 × 261,629,509
  4. Step 4: Simplify right side
    120,540,229x = 68,449,999,979,581,080
  5. Step 5: Solve for x
    x = 68,449,999,979,581,080/120,540,229
  6. Step 6: Final answer
    x = 567,860,211.88

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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.