Finding the Third Proportional to 1,025 and 1,121
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Solution
The third proportional to 1,025 and 1,121 is: 1,225.99
Step by Step Solution
- Step 1: Write the proportion equation
1,025 : 1,121 = 1,121 : x - Step 2: Convert to fraction form
1,025/1,121 = 1,121/x - Step 3: Cross multiply
1,025x = 1,121 × 1,121 - Step 4: Simplify right side
1,025x = 1,256,641 - Step 5: Solve for x
x = 1,256,641/1,025 - Step 6: Final answer
x = 1,225.99
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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.