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Finding the Third Proportional to 1,912.36 and 4,018.36

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Solution

The third proportional to 1,912.36 and 4,018.36 is: 8,443.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.36 : 4,018.36 = 4,018.36 : x
  2. Step 2: Convert to fraction form
    1,912.36/4,018.36 = 4,018.36/x
  3. Step 3: Cross multiply
    1,912.36x = 4,018.36 × 4,018.36
  4. Step 4: Simplify right side
    1,912.36x = 16,147,212.07
  5. Step 5: Solve for x
    x = 16,147,212.07/1,912.36
  6. Step 6: Final answer
    x = 8,443.61

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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.