Finding the Third Proportional to 882 and 1,722
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Solution
The third proportional to 882 and 1,722 is: 3,362
Step by Step Solution
- Step 1: Write the proportion equation
882 : 1,722 = 1,722 : x - Step 2: Convert to fraction form
882/1,722 = 1,722/x - Step 3: Cross multiply
882x = 1,722 × 1,722 - Step 4: Simplify right side
882x = 2,965,284 - Step 5: Solve for x
x = 2,965,284/882 - Step 6: Final answer
x = 3,362
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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.