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Finding the Third Proportional to 8,896.36 and 13,319.86

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Solution

The third proportional to 8,896.36 and 13,319.86 is: 19,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.36 : 13,319.86 = 13,319.86 : x
  2. Step 2: Convert to fraction form
    8,896.36/13,319.86 = 13,319.86/x
  3. Step 3: Cross multiply
    8,896.36x = 13,319.86 × 13,319.86
  4. Step 4: Simplify right side
    8,896.36x = 177,418,653.77
  5. Step 5: Solve for x
    x = 177,418,653.77/8,896.36
  6. Step 6: Final answer
    x = 19,942.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.