Finding the Third Proportional to 840 and 1,593
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Solution
The third proportional to 840 and 1,593 is: 3,021.01
Step by Step Solution
- Step 1: Write the proportion equation
840 : 1,593 = 1,593 : x - Step 2: Convert to fraction form
840/1,593 = 1,593/x - Step 3: Cross multiply
840x = 1,593 × 1,593 - Step 4: Simplify right side
840x = 2,537,649 - Step 5: Solve for x
x = 2,537,649/840 - Step 6: Final answer
x = 3,021.01
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Why These Related Problems?
These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.