Finding the Third Proportional to 2,106 and 2,385
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Solution
The third proportional to 2,106 and 2,385 is: 2,700.96
Step by Step Solution
- Step 1: Write the proportion equation
2,106 : 2,385 = 2,385 : x - Step 2: Convert to fraction form
2,106/2,385 = 2,385/x - Step 3: Cross multiply
2,106x = 2,385 × 2,385 - Step 4: Simplify right side
2,106x = 5,688,225 - Step 5: Solve for x
x = 5,688,225/2,106 - Step 6: Final answer
x = 2,700.96
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Why These Related Problems?
These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.