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Finding the Third Proportional to 166,904 and 256,189

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Solution

The third proportional to 166,904 and 256,189 is: 393,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,904 : 256,189 = 256,189 : x
  2. Step 2: Convert to fraction form
    166,904/256,189 = 256,189/x
  3. Step 3: Cross multiply
    166,904x = 256,189 × 256,189
  4. Step 4: Simplify right side
    166,904x = 65,632,803,721
  5. Step 5: Solve for x
    x = 65,632,803,721/166,904
  6. Step 6: Final answer
    x = 393,236.85

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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.