Finding the Third Proportional to 1,875 and 2,025
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Solution
The third proportional to 1,875 and 2,025 is: 2,187
Step by Step Solution
- Step 1: Write the proportion equation
1,875 : 2,025 = 2,025 : x - Step 2: Convert to fraction form
1,875/2,025 = 2,025/x - Step 3: Cross multiply
1,875x = 2,025 × 2,025 - Step 4: Simplify right side
1,875x = 4,100,625 - Step 5: Solve for x
x = 4,100,625/1,875 - Step 6: Final answer
x = 2,187
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.