Finding the Third Proportional to 963 and 1,398
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Solution
The third proportional to 963 and 1,398 is: 2,029.50
Step by Step Solution
- Step 1: Write the proportion equation
963 : 1,398 = 1,398 : x - Step 2: Convert to fraction form
963/1,398 = 1,398/x - Step 3: Cross multiply
963x = 1,398 × 1,398 - Step 4: Simplify right side
963x = 1,954,404 - Step 5: Solve for x
x = 1,954,404/963 - Step 6: Final answer
x = 2,029.50
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Why These Related Problems?
These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.