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Finding the Third Proportional to 57,990 and 86,761

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Solution

The third proportional to 57,990 and 86,761 is: 129,806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,990 : 86,761 = 86,761 : x
  2. Step 2: Convert to fraction form
    57,990/86,761 = 86,761/x
  3. Step 3: Cross multiply
    57,990x = 86,761 × 86,761
  4. Step 4: Simplify right side
    57,990x = 7,527,471,121
  5. Step 5: Solve for x
    x = 7,527,471,121/57,990
  6. Step 6: Final answer
    x = 129,806.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.