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Finding the Third Proportional to 81,367 and 108,603

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Solution

The third proportional to 81,367 and 108,603 is: 144,955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,367 : 108,603 = 108,603 : x
  2. Step 2: Convert to fraction form
    81,367/108,603 = 108,603/x
  3. Step 3: Cross multiply
    81,367x = 108,603 × 108,603
  4. Step 4: Simplify right side
    81,367x = 11,794,611,609
  5. Step 5: Solve for x
    x = 11,794,611,609/81,367
  6. Step 6: Final answer
    x = 144,955.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.