Finding the Third Proportional to 880 and 1,764
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Solution
The third proportional to 880 and 1,764 is: 3,536.02
Step by Step Solution
- Step 1: Write the proportion equation
880 : 1,764 = 1,764 : x - Step 2: Convert to fraction form
880/1,764 = 1,764/x - Step 3: Cross multiply
880x = 1,764 × 1,764 - Step 4: Simplify right side
880x = 3,111,696 - Step 5: Solve for x
x = 3,111,696/880 - Step 6: Final answer
x = 3,536.02
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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.