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Finding the Third Proportional to 36,858 and 81,102

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Solution

The third proportional to 36,858 and 81,102 is: 178,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,858 : 81,102 = 81,102 : x
  2. Step 2: Convert to fraction form
    36,858/81,102 = 81,102/x
  3. Step 3: Cross multiply
    36,858x = 81,102 × 81,102
  4. Step 4: Simplify right side
    36,858x = 6,577,534,404
  5. Step 5: Solve for x
    x = 6,577,534,404/36,858
  6. Step 6: Final answer
    x = 178,456.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.