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Finding the Third Proportional to 269,636 and 579,976

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Solution

The third proportional to 269,636 and 579,976 is: 1,247,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,636 : 579,976 = 579,976 : x
  2. Step 2: Convert to fraction form
    269,636/579,976 = 579,976/x
  3. Step 3: Cross multiply
    269,636x = 579,976 × 579,976
  4. Step 4: Simplify right side
    269,636x = 336,372,160,576
  5. Step 5: Solve for x
    x = 336,372,160,576/269,636
  6. Step 6: Final answer
    x = 1,247,504.64

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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.