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Finding the Third Proportional to 1,911.94 and 4,188.38

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Solution

The third proportional to 1,911.94 and 4,188.38 is: 9,175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.94 : 4,188.38 = 4,188.38 : x
  2. Step 2: Convert to fraction form
    1,911.94/4,188.38 = 4,188.38/x
  3. Step 3: Cross multiply
    1,911.94x = 4,188.38 × 4,188.38
  4. Step 4: Simplify right side
    1,911.94x = 17,542,485.14
  5. Step 5: Solve for x
    x = 17,542,485.14/1,911.94
  6. Step 6: Final answer
    x = 9,175.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.