Finding the Third Proportional to 258,583.50 and 397,365.75
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Solution
The third proportional to 258,583.50 and 397,365.75 is: 610,632.69
Step by Step Solution
- Step 1: Write the proportion equation
258,583.50 : 397,365.75 = 397,365.75 : x - Step 2: Convert to fraction form
258,583.50/397,365.75 = 397,365.75/x - Step 3: Cross multiply
258,583.50x = 397,365.75 × 397,365.75 - Step 4: Simplify right side
258,583.50x = 157,899,539,273.06 - Step 5: Solve for x
x = 157,899,539,273.06/258,583.50 - Step 6: Final answer
x = 610,632.69
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.