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Finding the Third Proportional to 131,027 and 280,738

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Solution

The third proportional to 131,027 and 280,738 is: 601,508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,027 : 280,738 = 280,738 : x
  2. Step 2: Convert to fraction form
    131,027/280,738 = 280,738/x
  3. Step 3: Cross multiply
    131,027x = 280,738 × 280,738
  4. Step 4: Simplify right side
    131,027x = 78,813,824,644
  5. Step 5: Solve for x
    x = 78,813,824,644/131,027
  6. Step 6: Final answer
    x = 601,508.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.