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Finding the Third Proportional to 120,963 and 192,168.75

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Solution

The third proportional to 120,963 and 192,168.75 is: 305,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,963 : 192,168.75 = 192,168.75 : x
  2. Step 2: Convert to fraction form
    120,963/192,168.75 = 192,168.75/x
  3. Step 3: Cross multiply
    120,963x = 192,168.75 × 192,168.75
  4. Step 4: Simplify right side
    120,963x = 36,928,828,476.56
  5. Step 5: Solve for x
    x = 36,928,828,476.56/120,963
  6. Step 6: Final answer
    x = 305,290.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.