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Finding the Third Proportional to 196,704 and 407,403

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Solution

The third proportional to 196,704 and 407,403 is: 843,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,704 : 407,403 = 407,403 : x
  2. Step 2: Convert to fraction form
    196,704/407,403 = 407,403/x
  3. Step 3: Cross multiply
    196,704x = 407,403 × 407,403
  4. Step 4: Simplify right side
    196,704x = 165,977,204,409
  5. Step 5: Solve for x
    x = 165,977,204,409/196,704
  6. Step 6: Final answer
    x = 843,791.71

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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.