Finding the Third Proportional to 2,160 and 2,802
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Solution
The third proportional to 2,160 and 2,802 is: 3,634.82
Step by Step Solution
- Step 1: Write the proportion equation
2,160 : 2,802 = 2,802 : x - Step 2: Convert to fraction form
2,160/2,802 = 2,802/x - Step 3: Cross multiply
2,160x = 2,802 × 2,802 - Step 4: Simplify right side
2,160x = 7,851,204 - Step 5: Solve for x
x = 7,851,204/2,160 - Step 6: Final answer
x = 3,634.82
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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.