Finding the Third Proportional to 871 and 2,002
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Solution
The third proportional to 871 and 2,002 is: 4,601.61
Step by Step Solution
- Step 1: Write the proportion equation
871 : 2,002 = 2,002 : x - Step 2: Convert to fraction form
871/2,002 = 2,002/x - Step 3: Cross multiply
871x = 2,002 × 2,002 - Step 4: Simplify right side
871x = 4,008,004 - Step 5: Solve for x
x = 4,008,004/871 - Step 6: Final answer
x = 4,601.61
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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.