Finding the Third Proportional to 1,309 and 2,405
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Solution
The third proportional to 1,309 and 2,405 is: 4,418.66
Step by Step Solution
- Step 1: Write the proportion equation
1,309 : 2,405 = 2,405 : x - Step 2: Convert to fraction form
1,309/2,405 = 2,405/x - Step 3: Cross multiply
1,309x = 2,405 × 2,405 - Step 4: Simplify right side
1,309x = 5,784,025 - Step 5: Solve for x
x = 5,784,025/1,309 - Step 6: Final answer
x = 4,418.66
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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.