Finding the Third Proportional to 745 and 1,409
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Solution
The third proportional to 745 and 1,409 is: 2,664.81
Step by Step Solution
- Step 1: Write the proportion equation
745 : 1,409 = 1,409 : x - Step 2: Convert to fraction form
745/1,409 = 1,409/x - Step 3: Cross multiply
745x = 1,409 × 1,409 - Step 4: Simplify right side
745x = 1,985,281 - Step 5: Solve for x
x = 1,985,281/745 - Step 6: Final answer
x = 2,664.81
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Why These Related Problems?
These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.