Finding the Third Proportional to 740 and 1,601
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Solution
The third proportional to 740 and 1,601 is: 3,463.79
Step by Step Solution
- Step 1: Write the proportion equation
740 : 1,601 = 1,601 : x - Step 2: Convert to fraction form
740/1,601 = 1,601/x - Step 3: Cross multiply
740x = 1,601 × 1,601 - Step 4: Simplify right side
740x = 2,563,201 - Step 5: Solve for x
x = 2,563,201/740 - Step 6: Final answer
x = 3,463.79
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.