Finding the Third Proportional to 162 and 234
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Solution
The third proportional to 162 and 234 is: 338
Step by Step Solution
- Step 1: Write the proportion equation
162 : 234 = 234 : x - Step 2: Convert to fraction form
162/234 = 234/x - Step 3: Cross multiply
162x = 234 × 234 - Step 4: Simplify right side
162x = 54,756 - Step 5: Solve for x
x = 54,756/162 - Step 6: Final answer
x = 338
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.