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Finding the Third Proportional to 119.25 and 159.63

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Solution

The third proportional to 119.25 and 159.63 is: 213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.25 : 159.63 = 159.63 : x
  2. Step 2: Convert to fraction form
    119.25/159.63 = 159.63/x
  3. Step 3: Cross multiply
    119.25x = 159.63 × 159.63
  4. Step 4: Simplify right side
    119.25x = 25,480.14
  5. Step 5: Solve for x
    x = 25,480.14/119.25
  6. Step 6: Final answer
    x = 213.67

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.