Finding the Third Proportional to 1,682 and 3,944
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Solution
The third proportional to 1,682 and 3,944 is: 9,248
Step by Step Solution
- Step 1: Write the proportion equation
1,682 : 3,944 = 3,944 : x - Step 2: Convert to fraction form
1,682/3,944 = 3,944/x - Step 3: Cross multiply
1,682x = 3,944 × 3,944 - Step 4: Simplify right side
1,682x = 15,555,136 - Step 5: Solve for x
x = 15,555,136/1,682 - Step 6: Final answer
x = 9,248
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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.