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Finding the Third Proportional to 259,040,648.25 and 422,945,285.63

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Solution

The third proportional to 259,040,648.25 and 422,945,285.63 is: 690,558,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,040,648.25 : 422,945,285.63 = 422,945,285.63 : x
  2. Step 2: Convert to fraction form
    259,040,648.25/422,945,285.63 = 422,945,285.63/x
  3. Step 3: Cross multiply
    259,040,648.25x = 422,945,285.63 × 422,945,285.63
  4. Step 4: Simplify right side
    259,040,648.25x = 178,882,714,632,412,832
  5. Step 5: Solve for x
    x = 178,882,714,632,412,832/259,040,648.25
  6. Step 6: Final answer
    x = 690,558,473.51

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1.5x scale

Why These Related Problems?

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