Finding the Third Proportional to 137.50 and 165
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Solution
The third proportional to 137.50 and 165 is: 198
Step by Step Solution
- Step 1: Write the proportion equation
137.50 : 165 = 165 : x - Step 2: Convert to fraction form
137.50/165 = 165/x - Step 3: Cross multiply
137.50x = 165 × 165 - Step 4: Simplify right side
137.50x = 27,225 - Step 5: Solve for x
x = 27,225/137.50 - Step 6: Final answer
x = 198
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Why These Related Problems?
These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.