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Finding the Third Proportional to 290.44 and 638.81

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Solution

The third proportional to 290.44 and 638.81 is: 1,405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.44 : 638.81 = 638.81 : x
  2. Step 2: Convert to fraction form
    290.44/638.81 = 638.81/x
  3. Step 3: Cross multiply
    290.44x = 638.81 × 638.81
  4. Step 4: Simplify right side
    290.44x = 408,081.41
  5. Step 5: Solve for x
    x = 408,081.41/290.44
  6. Step 6: Final answer
    x = 1,405.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.