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Finding the Third Proportional to 211,811 and 412,979

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Solution

The third proportional to 211,811 and 412,979 is: 805,206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,811 : 412,979 = 412,979 : x
  2. Step 2: Convert to fraction form
    211,811/412,979 = 412,979/x
  3. Step 3: Cross multiply
    211,811x = 412,979 × 412,979
  4. Step 4: Simplify right side
    211,811x = 170,551,654,441
  5. Step 5: Solve for x
    x = 170,551,654,441/211,811
  6. Step 6: Final answer
    x = 805,206.79

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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.