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Finding the Third Proportional to 7,806.38 and 11,284.31

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Solution

The third proportional to 7,806.38 and 11,284.31 is: 16,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.38 : 11,284.31 = 11,284.31 : x
  2. Step 2: Convert to fraction form
    7,806.38/11,284.31 = 11,284.31/x
  3. Step 3: Cross multiply
    7,806.38x = 11,284.31 × 11,284.31
  4. Step 4: Simplify right side
    7,806.38x = 127,335,708.60
  5. Step 5: Solve for x
    x = 127,335,708.60/7,806.38
  6. Step 6: Final answer
    x = 16,311.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.