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Finding the Third Proportional to 126,398 and 268,348

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Solution

The third proportional to 126,398 and 268,348 is: 569,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,398 : 268,348 = 268,348 : x
  2. Step 2: Convert to fraction form
    126,398/268,348 = 268,348/x
  3. Step 3: Cross multiply
    126,398x = 268,348 × 268,348
  4. Step 4: Simplify right side
    126,398x = 72,010,649,104
  5. Step 5: Solve for x
    x = 72,010,649,104/126,398
  6. Step 6: Final answer
    x = 569,713.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.