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Finding the Third Proportional to 638.35 and 1,334.60

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Solution

The third proportional to 638.35 and 1,334.60 is: 2,790.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.35 : 1,334.60 = 1,334.60 : x
  2. Step 2: Convert to fraction form
    638.35/1,334.60 = 1,334.60/x
  3. Step 3: Cross multiply
    638.35x = 1,334.60 × 1,334.60
  4. Step 4: Simplify right side
    638.35x = 1,781,161.33
  5. Step 5: Solve for x
    x = 1,781,161.33/638.35
  6. Step 6: Final answer
    x = 2,790.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.