Finding the Third Proportional to 1,338 and 1,842
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Solution
The third proportional to 1,338 and 1,842 is: 2,535.85
Step by Step Solution
- Step 1: Write the proportion equation
1,338 : 1,842 = 1,842 : x - Step 2: Convert to fraction form
1,338/1,842 = 1,842/x - Step 3: Cross multiply
1,338x = 1,842 × 1,842 - Step 4: Simplify right side
1,338x = 3,392,964 - Step 5: Solve for x
x = 3,392,964/1,338 - Step 6: Final answer
x = 2,535.85
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.