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Finding the Third Proportional to 82,450 and 125,251

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Solution

The third proportional to 82,450 and 125,251 is: 190,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,450 : 125,251 = 125,251 : x
  2. Step 2: Convert to fraction form
    82,450/125,251 = 125,251/x
  3. Step 3: Cross multiply
    82,450x = 125,251 × 125,251
  4. Step 4: Simplify right side
    82,450x = 15,687,813,001
  5. Step 5: Solve for x
    x = 15,687,813,001/82,450
  6. Step 6: Final answer
    x = 190,270.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.