Finding the Third Proportional to 820 and 1,384
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Solution
The third proportional to 820 and 1,384 is: 2,335.92
Step by Step Solution
- Step 1: Write the proportion equation
820 : 1,384 = 1,384 : x - Step 2: Convert to fraction form
820/1,384 = 1,384/x - Step 3: Cross multiply
820x = 1,384 × 1,384 - Step 4: Simplify right side
820x = 1,915,456 - Step 5: Solve for x
x = 1,915,456/820 - Step 6: Final answer
x = 2,335.92
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These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.