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Finding the Third Proportional to 211,810 and 412,976

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Solution

The third proportional to 211,810 and 412,976 is: 805,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,810 : 412,976 = 412,976 : x
  2. Step 2: Convert to fraction form
    211,810/412,976 = 412,976/x
  3. Step 3: Cross multiply
    211,810x = 412,976 × 412,976
  4. Step 4: Simplify right side
    211,810x = 170,549,176,576
  5. Step 5: Solve for x
    x = 170,549,176,576/211,810
  6. Step 6: Final answer
    x = 805,198.89

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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.