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Finding the Third Proportional to 133.03 and 290.81

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Solution

The third proportional to 133.03 and 290.81 is: 635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.03 : 290.81 = 290.81 : x
  2. Step 2: Convert to fraction form
    133.03/290.81 = 290.81/x
  3. Step 3: Cross multiply
    133.03x = 290.81 × 290.81
  4. Step 4: Simplify right side
    133.03x = 84,571.91
  5. Step 5: Solve for x
    x = 84,571.91/133.03
  6. Step 6: Final answer
    x = 635.73

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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.