Finding the Third Proportional to 10,278 and 13,878
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Solution
The third proportional to 10,278 and 13,878 is: 18,738.95
Step by Step Solution
- Step 1: Write the proportion equation
10,278 : 13,878 = 13,878 : x - Step 2: Convert to fraction form
10,278/13,878 = 13,878/x - Step 3: Cross multiply
10,278x = 13,878 × 13,878 - Step 4: Simplify right side
10,278x = 192,598,884 - Step 5: Solve for x
x = 192,598,884/10,278 - Step 6: Final answer
x = 18,738.95
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.