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Finding the Third Proportional to 89,002 and 137,761

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Solution

The third proportional to 89,002 and 137,761 is: 213,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,002 : 137,761 = 137,761 : x
  2. Step 2: Convert to fraction form
    89,002/137,761 = 137,761/x
  3. Step 3: Cross multiply
    89,002x = 137,761 × 137,761
  4. Step 4: Simplify right side
    89,002x = 18,978,093,121
  5. Step 5: Solve for x
    x = 18,978,093,121/89,002
  6. Step 6: Final answer
    x = 213,232.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.