Finding the Third Proportional to 861 and 1,690
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Solution
The third proportional to 861 and 1,690 is: 3,317.19
Step by Step Solution
- Step 1: Write the proportion equation
861 : 1,690 = 1,690 : x - Step 2: Convert to fraction form
861/1,690 = 1,690/x - Step 3: Cross multiply
861x = 1,690 × 1,690 - Step 4: Simplify right side
861x = 2,856,100 - Step 5: Solve for x
x = 2,856,100/861 - Step 6: Final answer
x = 3,317.19
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Why These Related Problems?
These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.