Finding the Third Proportional to 1,352 and 1,744
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Solution
The third proportional to 1,352 and 1,744 is: 2,249.66
Step by Step Solution
- Step 1: Write the proportion equation
1,352 : 1,744 = 1,744 : x - Step 2: Convert to fraction form
1,352/1,744 = 1,744/x - Step 3: Cross multiply
1,352x = 1,744 × 1,744 - Step 4: Simplify right side
1,352x = 3,041,536 - Step 5: Solve for x
x = 3,041,536/1,352 - Step 6: Final answer
x = 2,249.66
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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.