Finding the Third Proportional to 75 and 199
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Solution
The third proportional to 75 and 199 is: 528.01
Step by Step Solution
- Step 1: Write the proportion equation
75 : 199 = 199 : x - Step 2: Convert to fraction form
75/199 = 199/x - Step 3: Cross multiply
75x = 199 × 199 - Step 4: Simplify right side
75x = 39,601 - Step 5: Solve for x
x = 39,601/75 - Step 6: Final answer
x = 528.01
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Why These Related Problems?
These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.