Finding the Third Proportional to 75 and 171
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Solution
The third proportional to 75 and 171 is: 389.88
Step by Step Solution
- Step 1: Write the proportion equation
75 : 171 = 171 : x - Step 2: Convert to fraction form
75/171 = 171/x - Step 3: Cross multiply
75x = 171 × 171 - Step 4: Simplify right side
75x = 29,241 - Step 5: Solve for x
x = 29,241/75 - Step 6: Final answer
x = 389.88
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Why These Related Problems?
These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.