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Finding the Third Proportional to 100,780 and 217,112

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Solution

The third proportional to 100,780 and 217,112 is: 467,727.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,780 : 217,112 = 217,112 : x
  2. Step 2: Convert to fraction form
    100,780/217,112 = 217,112/x
  3. Step 3: Cross multiply
    100,780x = 217,112 × 217,112
  4. Step 4: Simplify right side
    100,780x = 47,137,620,544
  5. Step 5: Solve for x
    x = 47,137,620,544/100,780
  6. Step 6: Final answer
    x = 467,727.93

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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.