Finding the Third Proportional to 278 and 484
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Solution
The third proportional to 278 and 484 is: 842.65
Step by Step Solution
- Step 1: Write the proportion equation
278 : 484 = 484 : x - Step 2: Convert to fraction form
278/484 = 484/x - Step 3: Cross multiply
278x = 484 × 484 - Step 4: Simplify right side
278x = 234,256 - Step 5: Solve for x
x = 234,256/278 - Step 6: Final answer
x = 842.65
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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.