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Finding the Third Proportional to 126,728 and 268,936

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Solution

The third proportional to 126,728 and 268,936 is: 570,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,728 : 268,936 = 268,936 : x
  2. Step 2: Convert to fraction form
    126,728/268,936 = 268,936/x
  3. Step 3: Cross multiply
    126,728x = 268,936 × 268,936
  4. Step 4: Simplify right side
    126,728x = 72,326,572,096
  5. Step 5: Solve for x
    x = 72,326,572,096/126,728
  6. Step 6: Final answer
    x = 570,722.90

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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.