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Finding the Third Proportional to 300,615 and 661,351

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Solution

The third proportional to 300,615 and 661,351 is: 1,454,967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,615 : 661,351 = 661,351 : x
  2. Step 2: Convert to fraction form
    300,615/661,351 = 661,351/x
  3. Step 3: Cross multiply
    300,615x = 661,351 × 661,351
  4. Step 4: Simplify right side
    300,615x = 437,385,145,201
  5. Step 5: Solve for x
    x = 437,385,145,201/300,615
  6. Step 6: Final answer
    x = 1,454,967.80

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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.