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Finding the Third Proportional to 81,874 and 124,997

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Solution

The third proportional to 81,874 and 124,997 is: 190,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,874 : 124,997 = 124,997 : x
  2. Step 2: Convert to fraction form
    81,874/124,997 = 124,997/x
  3. Step 3: Cross multiply
    81,874x = 124,997 × 124,997
  4. Step 4: Simplify right side
    81,874x = 15,624,250,009
  5. Step 5: Solve for x
    x = 15,624,250,009/81,874
  6. Step 6: Final answer
    x = 190,832.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.