Finding the Third Proportional to 869 and 1,759
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Solution
The third proportional to 869 and 1,759 is: 3,560.51
Step by Step Solution
- Step 1: Write the proportion equation
869 : 1,759 = 1,759 : x - Step 2: Convert to fraction form
869/1,759 = 1,759/x - Step 3: Cross multiply
869x = 1,759 × 1,759 - Step 4: Simplify right side
869x = 3,094,081 - Step 5: Solve for x
x = 3,094,081/869 - Step 6: Final answer
x = 3,560.51
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Why These Related Problems?
These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.