Finding the Third Proportional to 1,402 and 2,804
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Solution
The third proportional to 1,402 and 2,804 is: 5,608
Step by Step Solution
- Step 1: Write the proportion equation
1,402 : 2,804 = 2,804 : x - Step 2: Convert to fraction form
1,402/2,804 = 2,804/x - Step 3: Cross multiply
1,402x = 2,804 × 2,804 - Step 4: Simplify right side
1,402x = 7,862,416 - Step 5: Solve for x
x = 7,862,416/1,402 - Step 6: Final answer
x = 5,608
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Why These Related Problems?
These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.