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Finding the Third Proportional to 133.47 and 205.94

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Solution

The third proportional to 133.47 and 205.94 is: 317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.47 : 205.94 = 205.94 : x
  2. Step 2: Convert to fraction form
    133.47/205.94 = 205.94/x
  3. Step 3: Cross multiply
    133.47x = 205.94 × 205.94
  4. Step 4: Simplify right side
    133.47x = 42,410.25
  5. Step 5: Solve for x
    x = 42,410.25/133.47
  6. Step 6: Final answer
    x = 317.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.