Finding the Third Proportional to 2,090 and 3,309
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Solution
The third proportional to 2,090 and 3,309 is: 5,238.99
Step by Step Solution
- Step 1: Write the proportion equation
2,090 : 3,309 = 3,309 : x - Step 2: Convert to fraction form
2,090/3,309 = 3,309/x - Step 3: Cross multiply
2,090x = 3,309 × 3,309 - Step 4: Simplify right side
2,090x = 10,949,481 - Step 5: Solve for x
x = 10,949,481/2,090 - Step 6: Final answer
x = 5,238.99
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.