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Finding the Third Proportional to 8,431.91 and 9,367.37

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Solution

The third proportional to 8,431.91 and 9,367.37 is: 10,406.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.91 : 9,367.37 = 9,367.37 : x
  2. Step 2: Convert to fraction form
    8,431.91/9,367.37 = 9,367.37/x
  3. Step 3: Cross multiply
    8,431.91x = 9,367.37 × 9,367.37
  4. Step 4: Simplify right side
    8,431.91x = 87,747,531.43
  5. Step 5: Solve for x
    x = 87,747,531.43/8,431.91
  6. Step 6: Final answer
    x = 10,406.60

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.