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Finding the Third Proportional to 211,771.97 and 412,902.56

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Solution

The third proportional to 211,771.97 and 412,902.56 is: 805,057.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,771.97 : 412,902.56 = 412,902.56 : x
  2. Step 2: Convert to fraction form
    211,771.97/412,902.56 = 412,902.56/x
  3. Step 3: Cross multiply
    211,771.97x = 412,902.56 × 412,902.56
  4. Step 4: Simplify right side
    211,771.97x = 170,488,526,119.07
  5. Step 5: Solve for x
    x = 170,488,526,119.07/211,771.97
  6. Step 6: Final answer
    x = 805,057.10

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.