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Finding the Third Proportional to 166,305 and 256,019

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Solution

The third proportional to 166,305 and 256,019 is: 394,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,305 : 256,019 = 256,019 : x
  2. Step 2: Convert to fraction form
    166,305/256,019 = 256,019/x
  3. Step 3: Cross multiply
    166,305x = 256,019 × 256,019
  4. Step 4: Simplify right side
    166,305x = 65,545,728,361
  5. Step 5: Solve for x
    x = 65,545,728,361/166,305
  6. Step 6: Final answer
    x = 394,129.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.