Finding the Third Proportional to 1,014 and 1,643
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Solution
The third proportional to 1,014 and 1,643 is: 2,662.18
Step by Step Solution
- Step 1: Write the proportion equation
1,014 : 1,643 = 1,643 : x - Step 2: Convert to fraction form
1,014/1,643 = 1,643/x - Step 3: Cross multiply
1,014x = 1,643 × 1,643 - Step 4: Simplify right side
1,014x = 2,699,449 - Step 5: Solve for x
x = 2,699,449/1,014 - Step 6: Final answer
x = 2,662.18
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Why These Related Problems?
These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.