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Finding the Third Proportional to 259,406 and 558,838

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Solution

The third proportional to 259,406 and 558,838 is: 1,203,903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,406 : 558,838 = 558,838 : x
  2. Step 2: Convert to fraction form
    259,406/558,838 = 558,838/x
  3. Step 3: Cross multiply
    259,406x = 558,838 × 558,838
  4. Step 4: Simplify right side
    259,406x = 312,299,910,244
  5. Step 5: Solve for x
    x = 312,299,910,244/259,406
  6. Step 6: Final answer
    x = 1,203,903.96

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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.