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Finding the Third Proportional to 9,450 and 20,330

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Solution

The third proportional to 9,450 and 20,330 is: 43,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,450 : 20,330 = 20,330 : x
  2. Step 2: Convert to fraction form
    9,450/20,330 = 20,330/x
  3. Step 3: Cross multiply
    9,450x = 20,330 × 20,330
  4. Step 4: Simplify right side
    9,450x = 413,308,900
  5. Step 5: Solve for x
    x = 413,308,900/9,450
  6. Step 6: Final answer
    x = 43,736.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.