Finding the Third Proportional to 240 and 344
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Solution
The third proportional to 240 and 344 is: 493.07
Step by Step Solution
- Step 1: Write the proportion equation
240 : 344 = 344 : x - Step 2: Convert to fraction form
240/344 = 344/x - Step 3: Cross multiply
240x = 344 × 344 - Step 4: Simplify right side
240x = 118,336 - Step 5: Solve for x
x = 118,336/240 - Step 6: Final answer
x = 493.07
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.