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Finding the Third Proportional to 263,279 and 397,245

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Solution

The third proportional to 263,279 and 397,245 is: 599,377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,279 : 397,245 = 397,245 : x
  2. Step 2: Convert to fraction form
    263,279/397,245 = 397,245/x
  3. Step 3: Cross multiply
    263,279x = 397,245 × 397,245
  4. Step 4: Simplify right side
    263,279x = 157,803,590,025
  5. Step 5: Solve for x
    x = 157,803,590,025/263,279
  6. Step 6: Final answer
    x = 599,377.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.