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Finding the Third Proportional to 166,907 and 256,193

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Solution

The third proportional to 166,907 and 256,193 is: 393,242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,907 : 256,193 = 256,193 : x
  2. Step 2: Convert to fraction form
    166,907/256,193 = 256,193/x
  3. Step 3: Cross multiply
    166,907x = 256,193 × 256,193
  4. Step 4: Simplify right side
    166,907x = 65,634,853,249
  5. Step 5: Solve for x
    x = 65,634,853,249/166,907
  6. Step 6: Final answer
    x = 393,242.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.