Finding the Third Proportional to 2,102 and 3,153
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Solution
The third proportional to 2,102 and 3,153 is: 4,729.50
Step by Step Solution
- Step 1: Write the proportion equation
2,102 : 3,153 = 3,153 : x - Step 2: Convert to fraction form
2,102/3,153 = 3,153/x - Step 3: Cross multiply
2,102x = 3,153 × 3,153 - Step 4: Simplify right side
2,102x = 9,941,409 - Step 5: Solve for x
x = 9,941,409/2,102 - Step 6: Final answer
x = 4,729.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.