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Finding the Third Proportional to 2,405.25 and 4,012.75

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Solution

The third proportional to 2,405.25 and 4,012.75 is: 6,694.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.25 : 4,012.75 = 4,012.75 : x
  2. Step 2: Convert to fraction form
    2,405.25/4,012.75 = 4,012.75/x
  3. Step 3: Cross multiply
    2,405.25x = 4,012.75 × 4,012.75
  4. Step 4: Simplify right side
    2,405.25x = 16,102,162.56
  5. Step 5: Solve for x
    x = 16,102,162.56/2,405.25
  6. Step 6: Final answer
    x = 6,694.59

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.