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Finding the Third Proportional to 199,615 and 408,544

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Solution

The third proportional to 199,615 and 408,544 is: 836,150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,615 : 408,544 = 408,544 : x
  2. Step 2: Convert to fraction form
    199,615/408,544 = 408,544/x
  3. Step 3: Cross multiply
    199,615x = 408,544 × 408,544
  4. Step 4: Simplify right side
    199,615x = 166,908,199,936
  5. Step 5: Solve for x
    x = 166,908,199,936/199,615
  6. Step 6: Final answer
    x = 836,150.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.