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Finding the Third Proportional to 136,821 and 300,615

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Solution

The third proportional to 136,821 and 300,615 is: 660,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,821 : 300,615 = 300,615 : x
  2. Step 2: Convert to fraction form
    136,821/300,615 = 300,615/x
  3. Step 3: Cross multiply
    136,821x = 300,615 × 300,615
  4. Step 4: Simplify right side
    136,821x = 90,369,378,225
  5. Step 5: Solve for x
    x = 90,369,378,225/136,821
  6. Step 6: Final answer
    x = 660,493.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.