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Finding the Third Proportional to 300.23 and 636.12

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Solution

The third proportional to 300.23 and 636.12 is: 1,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.23 : 636.12 = 636.12 : x
  2. Step 2: Convert to fraction form
    300.23/636.12 = 636.12/x
  3. Step 3: Cross multiply
    300.23x = 636.12 × 636.12
  4. Step 4: Simplify right side
    300.23x = 404,645.08
  5. Step 5: Solve for x
    x = 404,645.08/300.23
  6. Step 6: Final answer
    x = 1,347.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.