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Finding the Third Proportional to 181,900 and 280,626

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Solution

The third proportional to 181,900 and 280,626 is: 432,935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,900 : 280,626 = 280,626 : x
  2. Step 2: Convert to fraction form
    181,900/280,626 = 280,626/x
  3. Step 3: Cross multiply
    181,900x = 280,626 × 280,626
  4. Step 4: Simplify right side
    181,900x = 78,750,951,876
  5. Step 5: Solve for x
    x = 78,750,951,876/181,900
  6. Step 6: Final answer
    x = 432,935.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.