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Finding the Third Proportional to 81,912 and 125,457

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Solution

The third proportional to 81,912 and 125,457 is: 192,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,912 : 125,457 = 125,457 : x
  2. Step 2: Convert to fraction form
    81,912/125,457 = 125,457/x
  3. Step 3: Cross multiply
    81,912x = 125,457 × 125,457
  4. Step 4: Simplify right side
    81,912x = 15,739,458,849
  5. Step 5: Solve for x
    x = 15,739,458,849/81,912
  6. Step 6: Final answer
    x = 192,150.83

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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.