Finding the Third Proportional to 622 and 1,110
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Solution
The third proportional to 622 and 1,110 is: 1,980.87
Step by Step Solution
- Step 1: Write the proportion equation
622 : 1,110 = 1,110 : x - Step 2: Convert to fraction form
622/1,110 = 1,110/x - Step 3: Cross multiply
622x = 1,110 × 1,110 - Step 4: Simplify right side
622x = 1,232,100 - Step 5: Solve for x
x = 1,232,100/622 - Step 6: Final answer
x = 1,980.87
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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.