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Finding the Third Proportional to 126,189 and 256,086

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Solution

The third proportional to 126,189 and 256,086 is: 519,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,189 : 256,086 = 256,086 : x
  2. Step 2: Convert to fraction form
    126,189/256,086 = 256,086/x
  3. Step 3: Cross multiply
    126,189x = 256,086 × 256,086
  4. Step 4: Simplify right side
    126,189x = 65,580,039,396
  5. Step 5: Solve for x
    x = 65,580,039,396/126,189
  6. Step 6: Final answer
    x = 519,696.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.