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Finding the Third Proportional to 133.52 and 290.46

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Solution

The third proportional to 133.52 and 290.46 is: 631.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.52 : 290.46 = 290.46 : x
  2. Step 2: Convert to fraction form
    133.52/290.46 = 290.46/x
  3. Step 3: Cross multiply
    133.52x = 290.46 × 290.46
  4. Step 4: Simplify right side
    133.52x = 84,367.56
  5. Step 5: Solve for x
    x = 84,367.56/133.52
  6. Step 6: Final answer
    x = 631.86

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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.