Finding the Third Proportional to 724.50 and 838.50
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Solution
The third proportional to 724.50 and 838.50 is: 970.44
Step by Step Solution
- Step 1: Write the proportion equation
724.50 : 838.50 = 838.50 : x - Step 2: Convert to fraction form
724.50/838.50 = 838.50/x - Step 3: Cross multiply
724.50x = 838.50 × 838.50 - Step 4: Simplify right side
724.50x = 703,082.25 - Step 5: Solve for x
x = 703,082.25/724.50 - Step 6: Final answer
x = 970.44
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Why These Related Problems?
These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.