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Finding the Third Proportional to 919.48 and 1,993.36

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Solution

The third proportional to 919.48 and 1,993.36 is: 4,321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.48 : 1,993.36 = 1,993.36 : x
  2. Step 2: Convert to fraction form
    919.48/1,993.36 = 1,993.36/x
  3. Step 3: Cross multiply
    919.48x = 1,993.36 × 1,993.36
  4. Step 4: Simplify right side
    919.48x = 3,973,481.60
  5. Step 5: Solve for x
    x = 3,973,481.60/919.48
  6. Step 6: Final answer
    x = 4,321.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.