Finding the Third Proportional to 274 and 742.50
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Solution
The third proportional to 274 and 742.50 is: 2,012.07
Step by Step Solution
- Step 1: Write the proportion equation
274 : 742.50 = 742.50 : x - Step 2: Convert to fraction form
274/742.50 = 742.50/x - Step 3: Cross multiply
274x = 742.50 × 742.50 - Step 4: Simplify right side
274x = 551,306.25 - Step 5: Solve for x
x = 551,306.25/274 - Step 6: Final answer
x = 2,012.07
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Why These Related Problems?
These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.