Finding the Third Proportional to 800 and 1,315
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Solution
The third proportional to 800 and 1,315 is: 2,161.53
Step by Step Solution
- Step 1: Write the proportion equation
800 : 1,315 = 1,315 : x - Step 2: Convert to fraction form
800/1,315 = 1,315/x - Step 3: Cross multiply
800x = 1,315 × 1,315 - Step 4: Simplify right side
800x = 1,729,225 - Step 5: Solve for x
x = 1,729,225/800 - Step 6: Final answer
x = 2,161.53
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Why These Related Problems?
These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.