Finding the Third Proportional to 1,340 and 1,836
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Solution
The third proportional to 1,340 and 1,836 is: 2,515.59
Step by Step Solution
- Step 1: Write the proportion equation
1,340 : 1,836 = 1,836 : x - Step 2: Convert to fraction form
1,340/1,836 = 1,836/x - Step 3: Cross multiply
1,340x = 1,836 × 1,836 - Step 4: Simplify right side
1,340x = 3,370,896 - Step 5: Solve for x
x = 3,370,896/1,340 - Step 6: Final answer
x = 2,515.59
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.