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Finding the Third Proportional to 81,885 and 125,013

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Solution

The third proportional to 81,885 and 125,013 is: 190,856.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,885 : 125,013 = 125,013 : x
  2. Step 2: Convert to fraction form
    81,885/125,013 = 125,013/x
  3. Step 3: Cross multiply
    81,885x = 125,013 × 125,013
  4. Step 4: Simplify right side
    81,885x = 15,628,250,169
  5. Step 5: Solve for x
    x = 15,628,250,169/81,885
  6. Step 6: Final answer
    x = 190,856.08

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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.