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Finding the Third Proportional to 125.75 and 161.94

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Solution

The third proportional to 125.75 and 161.94 is: 208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.75 : 161.94 = 161.94 : x
  2. Step 2: Convert to fraction form
    125.75/161.94 = 161.94/x
  3. Step 3: Cross multiply
    125.75x = 161.94 × 161.94
  4. Step 4: Simplify right side
    125.75x = 26,223.75
  5. Step 5: Solve for x
    x = 26,223.75/125.75
  6. Step 6: Final answer
    x = 208.54

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.