Finding the Third Proportional to 1,722 and 1,836
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Solution
The third proportional to 1,722 and 1,836 is: 1,957.55
Step by Step Solution
- Step 1: Write the proportion equation
1,722 : 1,836 = 1,836 : x - Step 2: Convert to fraction form
1,722/1,836 = 1,836/x - Step 3: Cross multiply
1,722x = 1,836 × 1,836 - Step 4: Simplify right side
1,722x = 3,370,896 - Step 5: Solve for x
x = 3,370,896/1,722 - Step 6: Final answer
x = 1,957.55
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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.