Finding the Third Proportional to 380 and 798.50
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Solution
The third proportional to 380 and 798.50 is: 1,677.90
Step by Step Solution
- Step 1: Write the proportion equation
380 : 798.50 = 798.50 : x - Step 2: Convert to fraction form
380/798.50 = 798.50/x - Step 3: Cross multiply
380x = 798.50 × 798.50 - Step 4: Simplify right side
380x = 637,602.25 - Step 5: Solve for x
x = 637,602.25/380 - Step 6: Final answer
x = 1,677.90
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.