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Finding the Third Proportional to 636.61 and 1,361.39

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Solution

The third proportional to 636.61 and 1,361.39 is: 2,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.61 : 1,361.39 = 1,361.39 : x
  2. Step 2: Convert to fraction form
    636.61/1,361.39 = 1,361.39/x
  3. Step 3: Cross multiply
    636.61x = 1,361.39 × 1,361.39
  4. Step 4: Simplify right side
    636.61x = 1,853,384.43
  5. Step 5: Solve for x
    x = 1,853,384.43/636.61
  6. Step 6: Final answer
    x = 2,911.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.