Finding the Third Proportional to 115 and 163.75
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Solution
The third proportional to 115 and 163.75 is: 233.17
Step by Step Solution
- Step 1: Write the proportion equation
115 : 163.75 = 163.75 : x - Step 2: Convert to fraction form
115/163.75 = 163.75/x - Step 3: Cross multiply
115x = 163.75 × 163.75 - Step 4: Simplify right side
115x = 26,814.06 - Step 5: Solve for x
x = 26,814.06/115 - Step 6: Final answer
x = 233.17
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.