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Finding the Third Proportional to 57,708 and 86,941

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Solution

The third proportional to 57,708 and 86,941 is: 130,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,708 : 86,941 = 86,941 : x
  2. Step 2: Convert to fraction form
    57,708/86,941 = 86,941/x
  3. Step 3: Cross multiply
    57,708x = 86,941 × 86,941
  4. Step 4: Simplify right side
    57,708x = 7,558,737,481
  5. Step 5: Solve for x
    x = 7,558,737,481/57,708
  6. Step 6: Final answer
    x = 130,982.49

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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.