Finding the Third Proportional to 76 and 163.75
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Solution
The third proportional to 76 and 163.75 is: 352.82
Step by Step Solution
- Step 1: Write the proportion equation
76 : 163.75 = 163.75 : x - Step 2: Convert to fraction form
76/163.75 = 163.75/x - Step 3: Cross multiply
76x = 163.75 × 163.75 - Step 4: Simplify right side
76x = 26,814.06 - Step 5: Solve for x
x = 26,814.06/76 - Step 6: Final answer
x = 352.82
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.