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Finding the Third Proportional to 82,900 and 125,138

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Solution

The third proportional to 82,900 and 125,138 is: 188,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,900 : 125,138 = 125,138 : x
  2. Step 2: Convert to fraction form
    82,900/125,138 = 125,138/x
  3. Step 3: Cross multiply
    82,900x = 125,138 × 125,138
  4. Step 4: Simplify right side
    82,900x = 15,659,519,044
  5. Step 5: Solve for x
    x = 15,659,519,044/82,900
  6. Step 6: Final answer
    x = 188,896.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.