Finding the Third Proportional to 319 and 857
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Solution
The third proportional to 319 and 857 is: 2,302.35
Step by Step Solution
- Step 1: Write the proportion equation
319 : 857 = 857 : x - Step 2: Convert to fraction form
319/857 = 857/x - Step 3: Cross multiply
319x = 857 × 857 - Step 4: Simplify right side
319x = 734,449 - Step 5: Solve for x
x = 734,449/319 - Step 6: Final answer
x = 2,302.35
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Why These Related Problems?
These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.