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Finding the Third Proportional to 57,678 and 125,147

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Solution

The third proportional to 57,678 and 125,147 is: 271,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,678 : 125,147 = 125,147 : x
  2. Step 2: Convert to fraction form
    57,678/125,147 = 125,147/x
  3. Step 3: Cross multiply
    57,678x = 125,147 × 125,147
  4. Step 4: Simplify right side
    57,678x = 15,661,771,609
  5. Step 5: Solve for x
    x = 15,661,771,609/57,678
  6. Step 6: Final answer
    x = 271,538.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.