Finding the Third Proportional to 2,814 and 4,102.50
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Solution
The third proportional to 2,814 and 4,102.50 is: 5,980.99
Step by Step Solution
- Step 1: Write the proportion equation
2,814 : 4,102.50 = 4,102.50 : x - Step 2: Convert to fraction form
2,814/4,102.50 = 4,102.50/x - Step 3: Cross multiply
2,814x = 4,102.50 × 4,102.50 - Step 4: Simplify right side
2,814x = 16,830,506.25 - Step 5: Solve for x
x = 16,830,506.25/2,814 - Step 6: Final answer
x = 5,980.99
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.