Finding the Third Proportional to 2,118 and 3,382
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Solution
The third proportional to 2,118 and 3,382 is: 5,400.34
Step by Step Solution
- Step 1: Write the proportion equation
2,118 : 3,382 = 3,382 : x - Step 2: Convert to fraction form
2,118/3,382 = 3,382/x - Step 3: Cross multiply
2,118x = 3,382 × 3,382 - Step 4: Simplify right side
2,118x = 11,437,924 - Step 5: Solve for x
x = 11,437,924/2,118 - Step 6: Final answer
x = 5,400.34
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.