Finding the Third Proportional to 1,922 and 2,976
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Solution
The third proportional to 1,922 and 2,976 is: 4,608
Step by Step Solution
- Step 1: Write the proportion equation
1,922 : 2,976 = 2,976 : x - Step 2: Convert to fraction form
1,922/2,976 = 2,976/x - Step 3: Cross multiply
1,922x = 2,976 × 2,976 - Step 4: Simplify right side
1,922x = 8,856,576 - Step 5: Solve for x
x = 8,856,576/1,922 - Step 6: Final answer
x = 4,608
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.