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Finding the Third Proportional to 103,366 and 223,256

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Solution

The third proportional to 103,366 and 223,256 is: 482,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,366 : 223,256 = 223,256 : x
  2. Step 2: Convert to fraction form
    103,366/223,256 = 223,256/x
  3. Step 3: Cross multiply
    103,366x = 223,256 × 223,256
  4. Step 4: Simplify right side
    103,366x = 49,843,241,536
  5. Step 5: Solve for x
    x = 49,843,241,536/103,366
  6. Step 6: Final answer
    x = 482,201.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.