Finding the Third Proportional to 256,546.13 and 397,274.06
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Solution
The third proportional to 256,546.13 and 397,274.06 is: 615,198.07
Step by Step Solution
- Step 1: Write the proportion equation
256,546.13 : 397,274.06 = 397,274.06 : x - Step 2: Convert to fraction form
256,546.13/397,274.06 = 397,274.06/x - Step 3: Cross multiply
256,546.13x = 397,274.06 × 397,274.06 - Step 4: Simplify right side
256,546.13x = 157,826,680,735.25 - Step 5: Solve for x
x = 157,826,680,735.25/256,546.13 - Step 6: Final answer
x = 615,198.07
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.