Finding the Third Proportional to 172 and 176
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Solution
The third proportional to 172 and 176 is: 180.09
Step by Step Solution
- Step 1: Write the proportion equation
172 : 176 = 176 : x - Step 2: Convert to fraction form
172/176 = 176/x - Step 3: Cross multiply
172x = 176 × 176 - Step 4: Simplify right side
172x = 30,976 - Step 5: Solve for x
x = 30,976/172 - Step 6: Final answer
x = 180.09
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These problems maintain the same ratio (1.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.