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Finding the Third Proportional to 126,078 and 268,844

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Solution

The third proportional to 126,078 and 268,844 is: 573,272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,078 : 268,844 = 268,844 : x
  2. Step 2: Convert to fraction form
    126,078/268,844 = 268,844/x
  3. Step 3: Cross multiply
    126,078x = 268,844 × 268,844
  4. Step 4: Simplify right side
    126,078x = 72,277,096,336
  5. Step 5: Solve for x
    x = 72,277,096,336/126,078
  6. Step 6: Final answer
    x = 573,272.87

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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.