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Finding the Third Proportional to 133,920 and 196,088

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Solution

The third proportional to 133,920 and 196,088 is: 287,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,920 : 196,088 = 196,088 : x
  2. Step 2: Convert to fraction form
    133,920/196,088 = 196,088/x
  3. Step 3: Cross multiply
    133,920x = 196,088 × 196,088
  4. Step 4: Simplify right side
    133,920x = 38,450,503,744
  5. Step 5: Solve for x
    x = 38,450,503,744/133,920
  6. Step 6: Final answer
    x = 287,115.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.