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Finding the Third Proportional to 126,736 and 272,192

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Solution

The third proportional to 126,736 and 272,192 is: 584,589.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,736 : 272,192 = 272,192 : x
  2. Step 2: Convert to fraction form
    126,736/272,192 = 272,192/x
  3. Step 3: Cross multiply
    126,736x = 272,192 × 272,192
  4. Step 4: Simplify right side
    126,736x = 74,088,484,864
  5. Step 5: Solve for x
    x = 74,088,484,864/126,736
  6. Step 6: Final answer
    x = 584,589.11

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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.