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Finding the Third Proportional to 639.38 and 1,335.56

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Solution

The third proportional to 639.38 and 1,335.56 is: 2,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.38 : 1,335.56 = 1,335.56 : x
  2. Step 2: Convert to fraction form
    639.38/1,335.56 = 1,335.56/x
  3. Step 3: Cross multiply
    639.38x = 1,335.56 × 1,335.56
  4. Step 4: Simplify right side
    639.38x = 1,783,727.19
  5. Step 5: Solve for x
    x = 1,783,727.19/639.38
  6. Step 6: Final answer
    x = 2,789.80

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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.