Finding the Third Proportional to 176 and 216
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Solution
The third proportional to 176 and 216 is: 265.09
Step by Step Solution
- Step 1: Write the proportion equation
176 : 216 = 216 : x - Step 2: Convert to fraction form
176/216 = 216/x - Step 3: Cross multiply
176x = 216 × 216 - Step 4: Simplify right side
176x = 46,656 - Step 5: Solve for x
x = 46,656/176 - Step 6: Final answer
x = 265.09
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These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.