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Finding the Third Proportional to 126,872 and 178,212

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Solution

The third proportional to 126,872 and 178,212 is: 250,327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,872 : 178,212 = 178,212 : x
  2. Step 2: Convert to fraction form
    126,872/178,212 = 178,212/x
  3. Step 3: Cross multiply
    126,872x = 178,212 × 178,212
  4. Step 4: Simplify right side
    126,872x = 31,759,516,944
  5. Step 5: Solve for x
    x = 31,759,516,944/126,872
  6. Step 6: Final answer
    x = 250,327.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.