Finding the Third Proportional to 278 and 475.50
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Solution
The third proportional to 278 and 475.50 is: 813.31
Step by Step Solution
- Step 1: Write the proportion equation
278 : 475.50 = 475.50 : x - Step 2: Convert to fraction form
278/475.50 = 475.50/x - Step 3: Cross multiply
278x = 475.50 × 475.50 - Step 4: Simplify right side
278x = 226,100.25 - Step 5: Solve for x
x = 226,100.25/278 - Step 6: Final answer
x = 813.31
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These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.