Finding the Third Proportional to 1,562 and 1,998
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Solution
The third proportional to 1,562 and 1,998 is: 2,555.70
Step by Step Solution
- Step 1: Write the proportion equation
1,562 : 1,998 = 1,998 : x - Step 2: Convert to fraction form
1,562/1,998 = 1,998/x - Step 3: Cross multiply
1,562x = 1,998 × 1,998 - Step 4: Simplify right side
1,562x = 3,992,004 - Step 5: Solve for x
x = 3,992,004/1,562 - Step 6: Final answer
x = 2,555.70
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Why These Related Problems?
These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.