Finding the Third Proportional to 75 and 140
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Solution
The third proportional to 75 and 140 is: 261.33
Step by Step Solution
- Step 1: Write the proportion equation
75 : 140 = 140 : x - Step 2: Convert to fraction form
75/140 = 140/x - Step 3: Cross multiply
75x = 140 × 140 - Step 4: Simplify right side
75x = 19,600 - Step 5: Solve for x
x = 19,600/75 - Step 6: Final answer
x = 261.33
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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.