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Finding the Third Proportional to 1,940.25 and 4,188.09

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Solution

The third proportional to 1,940.25 and 4,188.09 is: 9,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.25 : 4,188.09 = 4,188.09 : x
  2. Step 2: Convert to fraction form
    1,940.25/4,188.09 = 4,188.09/x
  3. Step 3: Cross multiply
    1,940.25x = 4,188.09 × 4,188.09
  4. Step 4: Simplify right side
    1,940.25x = 17,540,129.26
  5. Step 5: Solve for x
    x = 17,540,129.26/1,940.25
  6. Step 6: Final answer
    x = 9,040.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.