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Finding the Third Proportional to 57,093 and 81,147

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Solution

The third proportional to 57,093 and 81,147 is: 115,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,093 : 81,147 = 81,147 : x
  2. Step 2: Convert to fraction form
    57,093/81,147 = 81,147/x
  3. Step 3: Cross multiply
    57,093x = 81,147 × 81,147
  4. Step 4: Simplify right side
    57,093x = 6,584,835,609
  5. Step 5: Solve for x
    x = 6,584,835,609/57,093
  6. Step 6: Final answer
    x = 115,335.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.