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Finding the Third Proportional to 290.25 and 350.25

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Solution

The third proportional to 290.25 and 350.25 is: 422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.25 : 350.25 = 350.25 : x
  2. Step 2: Convert to fraction form
    290.25/350.25 = 350.25/x
  3. Step 3: Cross multiply
    290.25x = 350.25 × 350.25
  4. Step 4: Simplify right side
    290.25x = 122,675.06
  5. Step 5: Solve for x
    x = 122,675.06/290.25
  6. Step 6: Final answer
    x = 422.65

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.