Finding the Third Proportional to 1,181 and 1,277
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Solution
The third proportional to 1,181 and 1,277 is: 1,380.80
Step by Step Solution
- Step 1: Write the proportion equation
1,181 : 1,277 = 1,277 : x - Step 2: Convert to fraction form
1,181/1,277 = 1,277/x - Step 3: Cross multiply
1,181x = 1,277 × 1,277 - Step 4: Simplify right side
1,181x = 1,630,729 - Step 5: Solve for x
x = 1,630,729/1,181 - Step 6: Final answer
x = 1,380.80
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.