Finding the Third Proportional to 11,920 and 13,000
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Solution
The third proportional to 11,920 and 13,000 is: 14,177.85
Step by Step Solution
- Step 1: Write the proportion equation
11,920 : 13,000 = 13,000 : x - Step 2: Convert to fraction form
11,920/13,000 = 13,000/x - Step 3: Cross multiply
11,920x = 13,000 × 13,000 - Step 4: Simplify right side
11,920x = 169,000,000 - Step 5: Solve for x
x = 169,000,000/11,920 - Step 6: Final answer
x = 14,177.85
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.