Finding the Third Proportional to 494 and 1,271
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Solution
The third proportional to 494 and 1,271 is: 3,270.12
Step by Step Solution
- Step 1: Write the proportion equation
494 : 1,271 = 1,271 : x - Step 2: Convert to fraction form
494/1,271 = 1,271/x - Step 3: Cross multiply
494x = 1,271 × 1,271 - Step 4: Simplify right side
494x = 1,615,441 - Step 5: Solve for x
x = 1,615,441/494 - Step 6: Final answer
x = 3,270.12
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These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.