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Finding the Third Proportional to 204,842 and 426,034

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Solution

The third proportional to 204,842 and 426,034 is: 886,073.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,842 : 426,034 = 426,034 : x
  2. Step 2: Convert to fraction form
    204,842/426,034 = 426,034/x
  3. Step 3: Cross multiply
    204,842x = 426,034 × 426,034
  4. Step 4: Simplify right side
    204,842x = 181,504,969,156
  5. Step 5: Solve for x
    x = 181,504,969,156/204,842
  6. Step 6: Final answer
    x = 886,073.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.