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Finding the Third Proportional to 89,121 and 133,230.75

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Solution

The third proportional to 89,121 and 133,230.75 is: 199,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,121 : 133,230.75 = 133,230.75 : x
  2. Step 2: Convert to fraction form
    89,121/133,230.75 = 133,230.75/x
  3. Step 3: Cross multiply
    89,121x = 133,230.75 × 133,230.75
  4. Step 4: Simplify right side
    89,121x = 17,750,432,745.56
  5. Step 5: Solve for x
    x = 17,750,432,745.56/89,121
  6. Step 6: Final answer
    x = 199,172.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.