Finding the Third Proportional to 653 and 1,450
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Solution
The third proportional to 653 and 1,450 is: 3,219.75
Step by Step Solution
- Step 1: Write the proportion equation
653 : 1,450 = 1,450 : x - Step 2: Convert to fraction form
653/1,450 = 1,450/x - Step 3: Cross multiply
653x = 1,450 × 1,450 - Step 4: Simplify right side
653x = 2,102,500 - Step 5: Solve for x
x = 2,102,500/653 - Step 6: Final answer
x = 3,219.75
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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.