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Finding the Third Proportional to 9,180 and 12,120.75

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Solution

The third proportional to 9,180 and 12,120.75 is: 16,003.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180 : 12,120.75 = 12,120.75 : x
  2. Step 2: Convert to fraction form
    9,180/12,120.75 = 12,120.75/x
  3. Step 3: Cross multiply
    9,180x = 12,120.75 × 12,120.75
  4. Step 4: Simplify right side
    9,180x = 146,912,580.56
  5. Step 5: Solve for x
    x = 146,912,580.56/9,180
  6. Step 6: Final answer
    x = 16,003.55

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.