Finding the Third Proportional to 1,244 and 1,982
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Solution
The third proportional to 1,244 and 1,982 is: 3,157.82
Step by Step Solution
- Step 1: Write the proportion equation
1,244 : 1,982 = 1,982 : x - Step 2: Convert to fraction form
1,244/1,982 = 1,982/x - Step 3: Cross multiply
1,244x = 1,982 × 1,982 - Step 4: Simplify right side
1,244x = 3,928,324 - Step 5: Solve for x
x = 3,928,324/1,244 - Step 6: Final answer
x = 3,157.82
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.