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Finding the Third Proportional to 196,806 and 407,615

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Solution

The third proportional to 196,806 and 407,615 is: 844,232.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,806 : 407,615 = 407,615 : x
  2. Step 2: Convert to fraction form
    196,806/407,615 = 407,615/x
  3. Step 3: Cross multiply
    196,806x = 407,615 × 407,615
  4. Step 4: Simplify right side
    196,806x = 166,149,988,225
  5. Step 5: Solve for x
    x = 166,149,988,225/196,806
  6. Step 6: Final answer
    x = 844,232.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.