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Finding the Third Proportional to 133.06 and 202.19

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Solution

The third proportional to 133.06 and 202.19 is: 307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.06 : 202.19 = 202.19 : x
  2. Step 2: Convert to fraction form
    133.06/202.19 = 202.19/x
  3. Step 3: Cross multiply
    133.06x = 202.19 × 202.19
  4. Step 4: Simplify right side
    133.06x = 40,879.79
  5. Step 5: Solve for x
    x = 40,879.79/133.06
  6. Step 6: Final answer
    x = 307.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.