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Finding the Third Proportional to 3,405.80 and 8,138.60

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Solution

The third proportional to 3,405.80 and 8,138.60 is: 19,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.80 : 8,138.60 = 8,138.60 : x
  2. Step 2: Convert to fraction form
    3,405.80/8,138.60 = 8,138.60/x
  3. Step 3: Cross multiply
    3,405.80x = 8,138.60 × 8,138.60
  4. Step 4: Simplify right side
    3,405.80x = 66,236,835.39
  5. Step 5: Solve for x
    x = 66,236,835.39/3,405.80
  6. Step 6: Final answer
    x = 19,448.26

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.