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Finding the Third Proportional to 259,687,249.50 and 388,234,699.50

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Solution

The third proportional to 259,687,249.50 and 388,234,699.50 is: 580,414,256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,687,249.50 : 388,234,699.50 = 388,234,699.50 : x
  2. Step 2: Convert to fraction form
    259,687,249.50/388,234,699.50 = 388,234,699.50/x
  3. Step 3: Cross multiply
    259,687,249.50x = 388,234,699.50 × 388,234,699.50
  4. Step 4: Simplify right side
    259,687,249.50x = 150,726,181,895,855,296
  5. Step 5: Solve for x
    x = 150,726,181,895,855,296/259,687,249.50
  6. Step 6: Final answer
    x = 580,414,256.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.