Finding the Third Proportional to 1,617 and 2,427
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Solution
The third proportional to 1,617 and 2,427 is: 3,642.75
Step by Step Solution
- Step 1: Write the proportion equation
1,617 : 2,427 = 2,427 : x - Step 2: Convert to fraction form
1,617/2,427 = 2,427/x - Step 3: Cross multiply
1,617x = 2,427 × 2,427 - Step 4: Simplify right side
1,617x = 5,890,329 - Step 5: Solve for x
x = 5,890,329/1,617 - Step 6: Final answer
x = 3,642.75
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.