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Finding the Third Proportional to 102,780 and 223,218

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Solution

The third proportional to 102,780 and 223,218 is: 484,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,780 : 223,218 = 223,218 : x
  2. Step 2: Convert to fraction form
    102,780/223,218 = 223,218/x
  3. Step 3: Cross multiply
    102,780x = 223,218 × 223,218
  4. Step 4: Simplify right side
    102,780x = 49,826,275,524
  5. Step 5: Solve for x
    x = 49,826,275,524/102,780
  6. Step 6: Final answer
    x = 484,785.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.