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Finding the Third Proportional to 30,198 and 45,225

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Solution

The third proportional to 30,198 and 45,225 is: 67,729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,198 : 45,225 = 45,225 : x
  2. Step 2: Convert to fraction form
    30,198/45,225 = 45,225/x
  3. Step 3: Cross multiply
    30,198x = 45,225 × 45,225
  4. Step 4: Simplify right side
    30,198x = 2,045,300,625
  5. Step 5: Solve for x
    x = 2,045,300,625/30,198
  6. Step 6: Final answer
    x = 67,729.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.