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Finding the Third Proportional to 259,959 and 558,606

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Solution

The third proportional to 259,959 and 558,606 is: 1,200,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,959 : 558,606 = 558,606 : x
  2. Step 2: Convert to fraction form
    259,959/558,606 = 558,606/x
  3. Step 3: Cross multiply
    259,959x = 558,606 × 558,606
  4. Step 4: Simplify right side
    259,959x = 312,040,663,236
  5. Step 5: Solve for x
    x = 312,040,663,236/259,959
  6. Step 6: Final answer
    x = 1,200,345.68

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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.