Finding the Third Proportional to 162 and 194
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Solution
The third proportional to 162 and 194 is: 232.32
Step by Step Solution
- Step 1: Write the proportion equation
162 : 194 = 194 : x - Step 2: Convert to fraction form
162/194 = 194/x - Step 3: Cross multiply
162x = 194 × 194 - Step 4: Simplify right side
162x = 37,636 - Step 5: Solve for x
x = 37,636/162 - Step 6: Final answer
x = 232.32
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.