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Finding the Third Proportional to 41,325 and 84,827

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Solution

The third proportional to 41,325 and 84,827 is: 174,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,325 : 84,827 = 84,827 : x
  2. Step 2: Convert to fraction form
    41,325/84,827 = 84,827/x
  3. Step 3: Cross multiply
    41,325x = 84,827 × 84,827
  4. Step 4: Simplify right side
    41,325x = 7,195,619,929
  5. Step 5: Solve for x
    x = 7,195,619,929/41,325
  6. Step 6: Final answer
    x = 174,122.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.