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Finding the Third Proportional to 269,638 and 579,980

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Solution

The third proportional to 269,638 and 579,980 is: 1,247,512.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,638 : 579,980 = 579,980 : x
  2. Step 2: Convert to fraction form
    269,638/579,980 = 579,980/x
  3. Step 3: Cross multiply
    269,638x = 579,980 × 579,980
  4. Step 4: Simplify right side
    269,638x = 336,376,800,400
  5. Step 5: Solve for x
    x = 336,376,800,400/269,638
  6. Step 6: Final answer
    x = 1,247,512.59

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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.