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Finding the Third Proportional to 290.44 and 635.81

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Solution

The third proportional to 290.44 and 635.81 is: 1,391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.44 : 635.81 = 635.81 : x
  2. Step 2: Convert to fraction form
    290.44/635.81 = 635.81/x
  3. Step 3: Cross multiply
    290.44x = 635.81 × 635.81
  4. Step 4: Simplify right side
    290.44x = 404,257.54
  5. Step 5: Solve for x
    x = 404,257.54/290.44
  6. Step 6: Final answer
    x = 1,391.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.