Finding the Third Proportional to 765 and 1,608
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Solution
The third proportional to 765 and 1,608 is: 3,379.95
Step by Step Solution
- Step 1: Write the proportion equation
765 : 1,608 = 1,608 : x - Step 2: Convert to fraction form
765/1,608 = 1,608/x - Step 3: Cross multiply
765x = 1,608 × 1,608 - Step 4: Simplify right side
765x = 2,585,664 - Step 5: Solve for x
x = 2,585,664/765 - Step 6: Final answer
x = 3,379.95
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.