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Finding the Third Proportional to 263,286 and 397,259

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Solution

The third proportional to 263,286 and 397,259 is: 599,404.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,286 : 397,259 = 397,259 : x
  2. Step 2: Convert to fraction form
    263,286/397,259 = 397,259/x
  3. Step 3: Cross multiply
    263,286x = 397,259 × 397,259
  4. Step 4: Simplify right side
    263,286x = 157,814,713,081
  5. Step 5: Solve for x
    x = 157,814,713,081/263,286
  6. Step 6: Final answer
    x = 599,404.12

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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.