Finding the Third Proportional to 838 and 1,782.50
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Solution
The third proportional to 838 and 1,782.50 is: 3,791.53
Step by Step Solution
- Step 1: Write the proportion equation
838 : 1,782.50 = 1,782.50 : x - Step 2: Convert to fraction form
838/1,782.50 = 1,782.50/x - Step 3: Cross multiply
838x = 1,782.50 × 1,782.50 - Step 4: Simplify right side
838x = 3,177,306.25 - Step 5: Solve for x
x = 3,177,306.25/838 - Step 6: Final answer
x = 3,791.53
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.