Finding the Third Proportional to 96 and 181.50
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Solution
The third proportional to 96 and 181.50 is: 343.15
Step by Step Solution
- Step 1: Write the proportion equation
96 : 181.50 = 181.50 : x - Step 2: Convert to fraction form
96/181.50 = 181.50/x - Step 3: Cross multiply
96x = 181.50 × 181.50 - Step 4: Simplify right side
96x = 32,942.25 - Step 5: Solve for x
x = 32,942.25/96 - Step 6: Final answer
x = 343.15
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Why These Related Problems?
These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.