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Finding the Third Proportional to 636.45 and 1,336.97

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Solution

The third proportional to 636.45 and 1,336.97 is: 2,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.45 : 1,336.97 = 1,336.97 : x
  2. Step 2: Convert to fraction form
    636.45/1,336.97 = 1,336.97/x
  3. Step 3: Cross multiply
    636.45x = 1,336.97 × 1,336.97
  4. Step 4: Simplify right side
    636.45x = 1,787,501.11
  5. Step 5: Solve for x
    x = 1,787,501.11/636.45
  6. Step 6: Final answer
    x = 2,808.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.