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Finding the Third Proportional to 293.63 and 639.44

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Solution

The third proportional to 293.63 and 639.44 is: 1,392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.63 : 639.44 = 639.44 : x
  2. Step 2: Convert to fraction form
    293.63/639.44 = 639.44/x
  3. Step 3: Cross multiply
    293.63x = 639.44 × 639.44
  4. Step 4: Simplify right side
    293.63x = 408,880.32
  5. Step 5: Solve for x
    x = 408,880.32/293.63
  6. Step 6: Final answer
    x = 1,392.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.