Finding the Third Proportional to 1,338 and 2,902.50
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Solution
The third proportional to 1,338 and 2,902.50 is: 6,296.34
Step by Step Solution
- Step 1: Write the proportion equation
1,338 : 2,902.50 = 2,902.50 : x - Step 2: Convert to fraction form
1,338/2,902.50 = 2,902.50/x - Step 3: Cross multiply
1,338x = 2,902.50 × 2,902.50 - Step 4: Simplify right side
1,338x = 8,424,506.25 - Step 5: Solve for x
x = 8,424,506.25/1,338 - Step 6: Final answer
x = 6,296.34
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.