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Finding the Third Proportional to 100,251 and 178,206.75

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Solution

The third proportional to 100,251 and 178,206.75 is: 316,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,251 : 178,206.75 = 178,206.75 : x
  2. Step 2: Convert to fraction form
    100,251/178,206.75 = 178,206.75/x
  3. Step 3: Cross multiply
    100,251x = 178,206.75 × 178,206.75
  4. Step 4: Simplify right side
    100,251x = 31,757,645,745.56
  5. Step 5: Solve for x
    x = 31,757,645,745.56/100,251
  6. Step 6: Final answer
    x = 316,781.34

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.