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Finding the Third Proportional to 52,678 and 126,949

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Solution

The third proportional to 52,678 and 126,949 is: 305,935.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,678 : 126,949 = 126,949 : x
  2. Step 2: Convert to fraction form
    52,678/126,949 = 126,949/x
  3. Step 3: Cross multiply
    52,678x = 126,949 × 126,949
  4. Step 4: Simplify right side
    52,678x = 16,116,048,601
  5. Step 5: Solve for x
    x = 16,116,048,601/52,678
  6. Step 6: Final answer
    x = 305,935.09

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.