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Finding the Third Proportional to 9,450.42 and 14,251.57

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Solution

The third proportional to 9,450.42 and 14,251.57 is: 21,491.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,450.42 : 14,251.57 = 14,251.57 : x
  2. Step 2: Convert to fraction form
    9,450.42/14,251.57 = 14,251.57/x
  3. Step 3: Cross multiply
    9,450.42x = 14,251.57 × 14,251.57
  4. Step 4: Simplify right side
    9,450.42x = 203,107,256.37
  5. Step 5: Solve for x
    x = 203,107,256.37/9,450.42
  6. Step 6: Final answer
    x = 21,491.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.