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Finding the Third Proportional to 215,059 and 485,615

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Solution

The third proportional to 215,059 and 485,615 is: 1,096,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,059 : 485,615 = 485,615 : x
  2. Step 2: Convert to fraction form
    215,059/485,615 = 485,615/x
  3. Step 3: Cross multiply
    215,059x = 485,615 × 485,615
  4. Step 4: Simplify right side
    215,059x = 235,821,928,225
  5. Step 5: Solve for x
    x = 235,821,928,225/215,059
  6. Step 6: Final answer
    x = 1,096,545.27

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.