Finding the Third Proportional to 11,540 and 12,740
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Solution
The third proportional to 11,540 and 12,740 is: 14,064.78
Step by Step Solution
- Step 1: Write the proportion equation
11,540 : 12,740 = 12,740 : x - Step 2: Convert to fraction form
11,540/12,740 = 12,740/x - Step 3: Cross multiply
11,540x = 12,740 × 12,740 - Step 4: Simplify right side
11,540x = 162,307,600 - Step 5: Solve for x
x = 162,307,600/11,540 - Step 6: Final answer
x = 14,064.78
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Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.