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Finding the Third Proportional to 636.89 and 1,343.39

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Solution

The third proportional to 636.89 and 1,343.39 is: 2,833.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.89 : 1,343.39 = 1,343.39 : x
  2. Step 2: Convert to fraction form
    636.89/1,343.39 = 1,343.39/x
  3. Step 3: Cross multiply
    636.89x = 1,343.39 × 1,343.39
  4. Step 4: Simplify right side
    636.89x = 1,804,698.37
  5. Step 5: Solve for x
    x = 1,804,698.37/636.89
  6. Step 6: Final answer
    x = 2,833.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.