Finding the Third Proportional to 684 and 1,850
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Solution
The third proportional to 684 and 1,850 is: 5,003.65
Step by Step Solution
- Step 1: Write the proportion equation
684 : 1,850 = 1,850 : x - Step 2: Convert to fraction form
684/1,850 = 1,850/x - Step 3: Cross multiply
684x = 1,850 × 1,850 - Step 4: Simplify right side
684x = 3,422,500 - Step 5: Solve for x
x = 3,422,500/684 - Step 6: Final answer
x = 5,003.65
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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.