Finding the Third Proportional to 1,201 and 1,321
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Solution
The third proportional to 1,201 and 1,321 is: 1,452.99
Step by Step Solution
- Step 1: Write the proportion equation
1,201 : 1,321 = 1,321 : x - Step 2: Convert to fraction form
1,201/1,321 = 1,321/x - Step 3: Cross multiply
1,201x = 1,321 × 1,321 - Step 4: Simplify right side
1,201x = 1,745,041 - Step 5: Solve for x
x = 1,745,041/1,201 - Step 6: Final answer
x = 1,452.99
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.