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Finding the Third Proportional to 100,256 and 178,214

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Solution

The third proportional to 100,256 and 178,214 is: 316,791.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,256 : 178,214 = 178,214 : x
  2. Step 2: Convert to fraction form
    100,256/178,214 = 178,214/x
  3. Step 3: Cross multiply
    100,256x = 178,214 × 178,214
  4. Step 4: Simplify right side
    100,256x = 31,760,229,796
  5. Step 5: Solve for x
    x = 31,760,229,796/100,256
  6. Step 6: Final answer
    x = 316,791.31

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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.