Finding the Third Proportional to 800 and 1,501
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Solution
The third proportional to 800 and 1,501 is: 2,816.25
Step by Step Solution
- Step 1: Write the proportion equation
800 : 1,501 = 1,501 : x - Step 2: Convert to fraction form
800/1,501 = 1,501/x - Step 3: Cross multiply
800x = 1,501 × 1,501 - Step 4: Simplify right side
800x = 2,253,001 - Step 5: Solve for x
x = 2,253,001/800 - Step 6: Final answer
x = 2,816.25
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Why These Related Problems?
These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.