Finding the Third Proportional to 724.50 and 1,014.75
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Solution
The third proportional to 724.50 and 1,014.75 is: 1,421.28
Step by Step Solution
- Step 1: Write the proportion equation
724.50 : 1,014.75 = 1,014.75 : x - Step 2: Convert to fraction form
724.50/1,014.75 = 1,014.75/x - Step 3: Cross multiply
724.50x = 1,014.75 × 1,014.75 - Step 4: Simplify right side
724.50x = 1,029,717.56 - Step 5: Solve for x
x = 1,029,717.56/724.50 - Step 6: Final answer
x = 1,421.28
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.