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Finding the Third Proportional to 131,198 and 275,615

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Solution

The third proportional to 131,198 and 275,615 is: 578,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,198 : 275,615 = 275,615 : x
  2. Step 2: Convert to fraction form
    131,198/275,615 = 275,615/x
  3. Step 3: Cross multiply
    131,198x = 275,615 × 275,615
  4. Step 4: Simplify right side
    131,198x = 75,963,628,225
  5. Step 5: Solve for x
    x = 75,963,628,225/131,198
  6. Step 6: Final answer
    x = 578,999.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.