Finding the Third Proportional to 179 and 198.50
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Solution
The third proportional to 179 and 198.50 is: 220.12
Step by Step Solution
- Step 1: Write the proportion equation
179 : 198.50 = 198.50 : x - Step 2: Convert to fraction form
179/198.50 = 198.50/x - Step 3: Cross multiply
179x = 198.50 × 198.50 - Step 4: Simplify right side
179x = 39,402.25 - Step 5: Solve for x
x = 39,402.25/179 - Step 6: Final answer
x = 220.12
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.