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Finding the Third Proportional to 7.21 and 18.74

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Solution

The third proportional to 7.21 and 18.74 is: 48.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.21 : 18.74 = 18.74 : x
  2. Step 2: Convert to fraction form
    7.21/18.74 = 18.74/x
  3. Step 3: Cross multiply
    7.21x = 18.74 × 18.74
  4. Step 4: Simplify right side
    7.21x = 351.14
  5. Step 5: Solve for x
    x = 351.14/7.21
  6. Step 6: Final answer
    x = 48.67

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.