Finding the Third Proportional to 342 and 440
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Solution
The third proportional to 342 and 440 is: 566.08
Step by Step Solution
- Step 1: Write the proportion equation
342 : 440 = 440 : x - Step 2: Convert to fraction form
342/440 = 440/x - Step 3: Cross multiply
342x = 440 × 440 - Step 4: Simplify right side
342x = 193,600 - Step 5: Solve for x
x = 193,600/342 - Step 6: Final answer
x = 566.08
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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.