Finding the Third Proportional to 1,022 and 1,675
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Solution
The third proportional to 1,022 and 1,675 is: 2,745.23
Step by Step Solution
- Step 1: Write the proportion equation
1,022 : 1,675 = 1,675 : x - Step 2: Convert to fraction form
1,022/1,675 = 1,675/x - Step 3: Cross multiply
1,022x = 1,675 × 1,675 - Step 4: Simplify right side
1,022x = 2,805,625 - Step 5: Solve for x
x = 2,805,625/1,022 - Step 6: Final answer
x = 2,745.23
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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.