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Finding the Third Proportional to 259,891.50 and 388,758.75

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Solution

The third proportional to 259,891.50 and 388,758.75 is: 581,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,891.50 : 388,758.75 = 388,758.75 : x
  2. Step 2: Convert to fraction form
    259,891.50/388,758.75 = 388,758.75/x
  3. Step 3: Cross multiply
    259,891.50x = 388,758.75 × 388,758.75
  4. Step 4: Simplify right side
    259,891.50x = 151,133,365,701.56
  5. Step 5: Solve for x
    x = 151,133,365,701.56/259,891.50
  6. Step 6: Final answer
    x = 581,524.85

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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.