Finding the Third Proportional to 384 and 742.50
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Solution
The third proportional to 384 and 742.50 is: 1,435.69
Step by Step Solution
- Step 1: Write the proportion equation
384 : 742.50 = 742.50 : x - Step 2: Convert to fraction form
384/742.50 = 742.50/x - Step 3: Cross multiply
384x = 742.50 × 742.50 - Step 4: Simplify right side
384x = 551,306.25 - Step 5: Solve for x
x = 551,306.25/384 - Step 6: Final answer
x = 1,435.69
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These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.