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Finding the Third Proportional to 919.31 and 2,012.44

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Solution

The third proportional to 919.31 and 2,012.44 is: 4,405.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.31 : 2,012.44 = 2,012.44 : x
  2. Step 2: Convert to fraction form
    919.31/2,012.44 = 2,012.44/x
  3. Step 3: Cross multiply
    919.31x = 2,012.44 × 2,012.44
  4. Step 4: Simplify right side
    919.31x = 4,049,904.69
  5. Step 5: Solve for x
    x = 4,049,904.69/919.31
  6. Step 6: Final answer
    x = 4,405.36

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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.