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Finding the Third Proportional to 120,936 and 189,006.75

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Solution

The third proportional to 120,936 and 189,006.75 is: 295,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,936 : 189,006.75 = 189,006.75 : x
  2. Step 2: Convert to fraction form
    120,936/189,006.75 = 189,006.75/x
  3. Step 3: Cross multiply
    120,936x = 189,006.75 × 189,006.75
  4. Step 4: Simplify right side
    120,936x = 35,723,551,545.56
  5. Step 5: Solve for x
    x = 35,723,551,545.56/120,936
  6. Step 6: Final answer
    x = 295,392.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.