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Finding the Third Proportional to 120,723,757.50 and 261,503,187

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Solution

The third proportional to 120,723,757.50 and 261,503,187 is: 566,449,539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,723,757.50 : 261,503,187 = 261,503,187 : x
  2. Step 2: Convert to fraction form
    120,723,757.50/261,503,187 = 261,503,187/x
  3. Step 3: Cross multiply
    120,723,757.50x = 261,503,187 × 261,503,187
  4. Step 4: Simplify right side
    120,723,757.50x = 68,383,916,811,156,968
  5. Step 5: Solve for x
    x = 68,383,916,811,156,968/120,723,757.50
  6. Step 6: Final answer
    x = 566,449,539.24

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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.