Finding the Third Proportional to 2,160 and 2,340
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Solution
The third proportional to 2,160 and 2,340 is: 2,535
Step by Step Solution
- Step 1: Write the proportion equation
2,160 : 2,340 = 2,340 : x - Step 2: Convert to fraction form
2,160/2,340 = 2,340/x - Step 3: Cross multiply
2,160x = 2,340 × 2,340 - Step 4: Simplify right side
2,160x = 5,475,600 - Step 5: Solve for x
x = 5,475,600/2,160 - Step 6: Final answer
x = 2,535
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Why These Related Problems?
These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.