Finding the Third Proportional to 398,210 and 843,056
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Solution
The third proportional to 398,210 and 843,056 is: 1,784,845.73
Step by Step Solution
- Step 1: Write the proportion equation
398,210 : 843,056 = 843,056 : x - Step 2: Convert to fraction form
398,210/843,056 = 843,056/x - Step 3: Cross multiply
398,210x = 843,056 × 843,056 - Step 4: Simplify right side
398,210x = 710,743,419,136 - Step 5: Solve for x
x = 710,743,419,136/398,210 - Step 6: Final answer
x = 1,784,845.73
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.