Finding the Third Proportional to 784 and 1,676.50
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Solution
The third proportional to 784 and 1,676.50 is: 3,585.02
Step by Step Solution
- Step 1: Write the proportion equation
784 : 1,676.50 = 1,676.50 : x - Step 2: Convert to fraction form
784/1,676.50 = 1,676.50/x - Step 3: Cross multiply
784x = 1,676.50 × 1,676.50 - Step 4: Simplify right side
784x = 2,810,652.25 - Step 5: Solve for x
x = 2,810,652.25/784 - Step 6: Final answer
x = 3,585.02
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.