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Finding the Third Proportional to 126,213 and 269,265

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Solution

The third proportional to 126,213 and 269,265 is: 574,454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,213 : 269,265 = 269,265 : x
  2. Step 2: Convert to fraction form
    126,213/269,265 = 269,265/x
  3. Step 3: Cross multiply
    126,213x = 269,265 × 269,265
  4. Step 4: Simplify right side
    126,213x = 72,503,640,225
  5. Step 5: Solve for x
    x = 72,503,640,225/126,213
  6. Step 6: Final answer
    x = 574,454.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.