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Finding the Third Proportional to 125 and 185.25

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Solution

The third proportional to 125 and 185.25 is: 274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125 : 185.25 = 185.25 : x
  2. Step 2: Convert to fraction form
    125/185.25 = 185.25/x
  3. Step 3: Cross multiply
    125x = 185.25 × 185.25
  4. Step 4: Simplify right side
    125x = 34,317.56
  5. Step 5: Solve for x
    x = 34,317.56/125
  6. Step 6: Final answer
    x = 274.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.