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Finding the Third Proportional to 259,040,641.50 and 422,945,275.50

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Solution

The third proportional to 259,040,641.50 and 422,945,275.50 is: 690,558,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,040,641.50 : 422,945,275.50 = 422,945,275.50 : x
  2. Step 2: Convert to fraction form
    259,040,641.50/422,945,275.50 = 422,945,275.50/x
  3. Step 3: Cross multiply
    259,040,641.50x = 422,945,275.50 × 422,945,275.50
  4. Step 4: Simplify right side
    259,040,641.50x = 178,882,706,067,770,912
  5. Step 5: Solve for x
    x = 178,882,706,067,770,912/259,040,641.50
  6. Step 6: Final answer
    x = 690,558,458.44

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.