Finding the Third Proportional to 5,414 and 6,865
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Solution
The third proportional to 5,414 and 6,865 is: 8,704.88
Step by Step Solution
- Step 1: Write the proportion equation
5,414 : 6,865 = 6,865 : x - Step 2: Convert to fraction form
5,414/6,865 = 6,865/x - Step 3: Cross multiply
5,414x = 6,865 × 6,865 - Step 4: Simplify right side
5,414x = 47,128,225 - Step 5: Solve for x
x = 47,128,225/5,414 - Step 6: Final answer
x = 8,704.88
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.