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Finding the Third Proportional to 204,844 and 426,038

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Solution

The third proportional to 204,844 and 426,038 is: 886,081.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,844 : 426,038 = 426,038 : x
  2. Step 2: Convert to fraction form
    204,844/426,038 = 426,038/x
  3. Step 3: Cross multiply
    204,844x = 426,038 × 426,038
  4. Step 4: Simplify right side
    204,844x = 181,508,377,444
  5. Step 5: Solve for x
    x = 181,508,377,444/204,844
  6. Step 6: Final answer
    x = 886,081.01

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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.