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Finding the Third Proportional to 259,876 and 559,856

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Solution

The third proportional to 259,876 and 559,856 is: 1,206,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,876 : 559,856 = 559,856 : x
  2. Step 2: Convert to fraction form
    259,876/559,856 = 559,856/x
  3. Step 3: Cross multiply
    259,876x = 559,856 × 559,856
  4. Step 4: Simplify right side
    259,876x = 313,438,740,736
  5. Step 5: Solve for x
    x = 313,438,740,736/259,876
  6. Step 6: Final answer
    x = 1,206,108.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.