Finding the Third Proportional to 790 and 1,665
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Solution
The third proportional to 790 and 1,665 is: 3,509.15
Step by Step Solution
- Step 1: Write the proportion equation
790 : 1,665 = 1,665 : x - Step 2: Convert to fraction form
790/1,665 = 1,665/x - Step 3: Cross multiply
790x = 1,665 × 1,665 - Step 4: Simplify right side
790x = 2,772,225 - Step 5: Solve for x
x = 2,772,225/790 - Step 6: Final answer
x = 3,509.15
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.