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Finding the Third Proportional to 293.44 and 644.44

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Solution

The third proportional to 293.44 and 644.44 is: 1,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.44 : 644.44 = 644.44 : x
  2. Step 2: Convert to fraction form
    293.44/644.44 = 644.44/x
  3. Step 3: Cross multiply
    293.44x = 644.44 × 644.44
  4. Step 4: Simplify right side
    293.44x = 415,299.69
  5. Step 5: Solve for x
    x = 415,299.69/293.44
  6. Step 6: Final answer
    x = 1,415.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.