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Finding the Third Proportional to 259,686 and 391,238

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Solution

The third proportional to 259,686 and 391,238 is: 589,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,686 : 391,238 = 391,238 : x
  2. Step 2: Convert to fraction form
    259,686/391,238 = 391,238/x
  3. Step 3: Cross multiply
    259,686x = 391,238 × 391,238
  4. Step 4: Simplify right side
    259,686x = 153,067,172,644
  5. Step 5: Solve for x
    x = 153,067,172,644/259,686
  6. Step 6: Final answer
    x = 589,431.75

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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.