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Finding the Third Proportional to 125.56 and 203.69

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Solution

The third proportional to 125.56 and 203.69 is: 330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.56 : 203.69 = 203.69 : x
  2. Step 2: Convert to fraction form
    125.56/203.69 = 203.69/x
  3. Step 3: Cross multiply
    125.56x = 203.69 × 203.69
  4. Step 4: Simplify right side
    125.56x = 41,488.60
  5. Step 5: Solve for x
    x = 41,488.60/125.56
  6. Step 6: Final answer
    x = 330.42

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.