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Finding the Third Proportional to 125.75 and 164.38

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Solution

The third proportional to 125.75 and 164.38 is: 214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.75 : 164.38 = 164.38 : x
  2. Step 2: Convert to fraction form
    125.75/164.38 = 164.38/x
  3. Step 3: Cross multiply
    125.75x = 164.38 × 164.38
  4. Step 4: Simplify right side
    125.75x = 27,019.14
  5. Step 5: Solve for x
    x = 27,019.14/125.75
  6. Step 6: Final answer
    x = 214.86

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.