Finding the Third Proportional to 725 and 1,958
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Solution
The third proportional to 725 and 1,958 is: 5,287.95
Step by Step Solution
- Step 1: Write the proportion equation
725 : 1,958 = 1,958 : x - Step 2: Convert to fraction form
725/1,958 = 1,958/x - Step 3: Cross multiply
725x = 1,958 × 1,958 - Step 4: Simplify right side
725x = 3,833,764 - Step 5: Solve for x
x = 3,833,764/725 - Step 6: Final answer
x = 5,287.95
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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.