Finding the Third Proportional to 734 and 1,754.25
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Solution
The third proportional to 734 and 1,754.25 is: 4,192.63
Step by Step Solution
- Step 1: Write the proportion equation
734 : 1,754.25 = 1,754.25 : x - Step 2: Convert to fraction form
734/1,754.25 = 1,754.25/x - Step 3: Cross multiply
734x = 1,754.25 × 1,754.25 - Step 4: Simplify right side
734x = 3,077,393.06 - Step 5: Solve for x
x = 3,077,393.06/734 - Step 6: Final answer
x = 4,192.63
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Why These Related Problems?
These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.