Finding the Third Proportional to 198 and 300
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Solution
The third proportional to 198 and 300 is: 454.55
Step by Step Solution
- Step 1: Write the proportion equation
198 : 300 = 300 : x - Step 2: Convert to fraction form
198/300 = 300/x - Step 3: Cross multiply
198x = 300 × 300 - Step 4: Simplify right side
198x = 90,000 - Step 5: Solve for x
x = 90,000/198 - Step 6: Final answer
x = 454.55
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.