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Finding the Third Proportional to 133.31 and 290.79

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Solution

The third proportional to 133.31 and 290.79 is: 634.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.31 : 290.79 = 290.79 : x
  2. Step 2: Convert to fraction form
    133.31/290.79 = 290.79/x
  3. Step 3: Cross multiply
    133.31x = 290.79 × 290.79
  4. Step 4: Simplify right side
    133.31x = 84,558.28
  5. Step 5: Solve for x
    x = 84,558.28/133.31
  6. Step 6: Final answer
    x = 634.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.