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Finding the Third Proportional to 259,418 and 558,856

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Solution

The third proportional to 259,418 and 558,856 is: 1,203,925.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,418 : 558,856 = 558,856 : x
  2. Step 2: Convert to fraction form
    259,418/558,856 = 558,856/x
  3. Step 3: Cross multiply
    259,418x = 558,856 × 558,856
  4. Step 4: Simplify right side
    259,418x = 312,320,028,736
  5. Step 5: Solve for x
    x = 312,320,028,736/259,418
  6. Step 6: Final answer
    x = 1,203,925.82

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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.