Finding the Third Proportional to 705 and 1,727
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Solution
The third proportional to 705 and 1,727 is: 4,230.54
Step by Step Solution
- Step 1: Write the proportion equation
705 : 1,727 = 1,727 : x - Step 2: Convert to fraction form
705/1,727 = 1,727/x - Step 3: Cross multiply
705x = 1,727 × 1,727 - Step 4: Simplify right side
705x = 2,982,529 - Step 5: Solve for x
x = 2,982,529/705 - Step 6: Final answer
x = 4,230.54
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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.