Finding the Third Proportional to 839 and 1,941
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Solution
The third proportional to 839 and 1,941 is: 4,490.44
Step by Step Solution
- Step 1: Write the proportion equation
839 : 1,941 = 1,941 : x - Step 2: Convert to fraction form
839/1,941 = 1,941/x - Step 3: Cross multiply
839x = 1,941 × 1,941 - Step 4: Simplify right side
839x = 3,767,481 - Step 5: Solve for x
x = 3,767,481/839 - Step 6: Final answer
x = 4,490.44
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Why These Related Problems?
These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.