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Finding the Third Proportional to 259,960 and 558,608

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Solution

The third proportional to 259,960 and 558,608 is: 1,200,349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,960 : 558,608 = 558,608 : x
  2. Step 2: Convert to fraction form
    259,960/558,608 = 558,608/x
  3. Step 3: Cross multiply
    259,960x = 558,608 × 558,608
  4. Step 4: Simplify right side
    259,960x = 312,042,897,664
  5. Step 5: Solve for x
    x = 312,042,897,664/259,960
  6. Step 6: Final answer
    x = 1,200,349.66

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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.