Finding the Third Proportional to 480 and 1,188
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Solution
The third proportional to 480 and 1,188 is: 2,940.30
Step by Step Solution
- Step 1: Write the proportion equation
480 : 1,188 = 1,188 : x - Step 2: Convert to fraction form
480/1,188 = 1,188/x - Step 3: Cross multiply
480x = 1,188 × 1,188 - Step 4: Simplify right side
480x = 1,411,344 - Step 5: Solve for x
x = 1,411,344/480 - Step 6: Final answer
x = 2,940.30
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These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.