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Finding the Third Proportional to 269,640 and 579,984

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Solution

The third proportional to 269,640 and 579,984 is: 1,247,520.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,640 : 579,984 = 579,984 : x
  2. Step 2: Convert to fraction form
    269,640/579,984 = 579,984/x
  3. Step 3: Cross multiply
    269,640x = 579,984 × 579,984
  4. Step 4: Simplify right side
    269,640x = 336,381,440,256
  5. Step 5: Solve for x
    x = 336,381,440,256/269,640
  6. Step 6: Final answer
    x = 1,247,520.55

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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.