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Finding the Third Proportional to 81,002 and 108,975

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Solution

The third proportional to 81,002 and 108,975 is: 146,608.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,002 : 108,975 = 108,975 : x
  2. Step 2: Convert to fraction form
    81,002/108,975 = 108,975/x
  3. Step 3: Cross multiply
    81,002x = 108,975 × 108,975
  4. Step 4: Simplify right side
    81,002x = 11,875,550,625
  5. Step 5: Solve for x
    x = 11,875,550,625/81,002
  6. Step 6: Final answer
    x = 146,608.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.