Finding the Third Proportional to 3,970 and 8,340
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Solution
The third proportional to 3,970 and 8,340 is: 17,520.30
Step by Step Solution
- Step 1: Write the proportion equation
3,970 : 8,340 = 8,340 : x - Step 2: Convert to fraction form
3,970/8,340 = 8,340/x - Step 3: Cross multiply
3,970x = 8,340 × 8,340 - Step 4: Simplify right side
3,970x = 69,555,600 - Step 5: Solve for x
x = 69,555,600/3,970 - Step 6: Final answer
x = 17,520.30
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.