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Finding the Third Proportional to 122,640 and 269,364

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Solution

The third proportional to 122,640 and 269,364 is: 591,625.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,640 : 269,364 = 269,364 : x
  2. Step 2: Convert to fraction form
    122,640/269,364 = 269,364/x
  3. Step 3: Cross multiply
    122,640x = 269,364 × 269,364
  4. Step 4: Simplify right side
    122,640x = 72,556,964,496
  5. Step 5: Solve for x
    x = 72,556,964,496/122,640
  6. Step 6: Final answer
    x = 591,625.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.