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Finding the Third Proportional to 104,100 and 223,986

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Solution

The third proportional to 104,100 and 223,986 is: 481,937.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,100 : 223,986 = 223,986 : x
  2. Step 2: Convert to fraction form
    104,100/223,986 = 223,986/x
  3. Step 3: Cross multiply
    104,100x = 223,986 × 223,986
  4. Step 4: Simplify right side
    104,100x = 50,169,728,196
  5. Step 5: Solve for x
    x = 50,169,728,196/104,100
  6. Step 6: Final answer
    x = 481,937.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.