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Finding the Third Proportional to 196,804 and 407,612

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Solution

The third proportional to 196,804 and 407,612 is: 844,228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,804 : 407,612 = 407,612 : x
  2. Step 2: Convert to fraction form
    196,804/407,612 = 407,612/x
  3. Step 3: Cross multiply
    196,804x = 407,612 × 407,612
  4. Step 4: Simplify right side
    196,804x = 166,147,542,544
  5. Step 5: Solve for x
    x = 166,147,542,544/196,804
  6. Step 6: Final answer
    x = 844,228.48

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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.