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Finding the Third Proportional to 204,869 and 417,863

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Solution

The third proportional to 204,869 and 417,863 is: 852,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,869 : 417,863 = 417,863 : x
  2. Step 2: Convert to fraction form
    204,869/417,863 = 417,863/x
  3. Step 3: Cross multiply
    204,869x = 417,863 × 417,863
  4. Step 4: Simplify right side
    204,869x = 174,609,486,769
  5. Step 5: Solve for x
    x = 174,609,486,769/204,869
  6. Step 6: Final answer
    x = 852,298.23

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.