Finding the Third Proportional to 840 and 1,657
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Solution
The third proportional to 840 and 1,657 is: 3,268.63
Step by Step Solution
- Step 1: Write the proportion equation
840 : 1,657 = 1,657 : x - Step 2: Convert to fraction form
840/1,657 = 1,657/x - Step 3: Cross multiply
840x = 1,657 × 1,657 - Step 4: Simplify right side
840x = 2,745,649 - Step 5: Solve for x
x = 2,745,649/840 - Step 6: Final answer
x = 3,268.63
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Why These Related Problems?
These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.