Finding the Third Proportional to 830 and 1,792
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Solution
The third proportional to 830 and 1,792 is: 3,868.99
Step by Step Solution
- Step 1: Write the proportion equation
830 : 1,792 = 1,792 : x - Step 2: Convert to fraction form
830/1,792 = 1,792/x - Step 3: Cross multiply
830x = 1,792 × 1,792 - Step 4: Simplify right side
830x = 3,211,264 - Step 5: Solve for x
x = 3,211,264/830 - Step 6: Final answer
x = 3,868.99
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.