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Finding the Third Proportional to 133,812 and 192,334.50

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Solution

The third proportional to 133,812 and 192,334.50 is: 276,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,812 : 192,334.50 = 192,334.50 : x
  2. Step 2: Convert to fraction form
    133,812/192,334.50 = 192,334.50/x
  3. Step 3: Cross multiply
    133,812x = 192,334.50 × 192,334.50
  4. Step 4: Simplify right side
    133,812x = 36,992,559,890.25
  5. Step 5: Solve for x
    x = 36,992,559,890.25/133,812
  6. Step 6: Final answer
    x = 276,451.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.