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Finding the Third Proportional to 8,409.94 and 17,691.19

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Solution

The third proportional to 8,409.94 and 17,691.19 is: 37,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.94 : 17,691.19 = 17,691.19 : x
  2. Step 2: Convert to fraction form
    8,409.94/17,691.19 = 17,691.19/x
  3. Step 3: Cross multiply
    8,409.94x = 17,691.19 × 17,691.19
  4. Step 4: Simplify right side
    8,409.94x = 312,978,115.16
  5. Step 5: Solve for x
    x = 312,978,115.16/8,409.94
  6. Step 6: Final answer
    x = 37,215.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.