Finding the Third Proportional to 259,284 and 389,170
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Solution
The third proportional to 259,284 and 389,170 is: 584,121.23
Step by Step Solution
- Step 1: Write the proportion equation
259,284 : 389,170 = 389,170 : x - Step 2: Convert to fraction form
259,284/389,170 = 389,170/x - Step 3: Cross multiply
259,284x = 389,170 × 389,170 - Step 4: Simplify right side
259,284x = 151,453,288,900 - Step 5: Solve for x
x = 151,453,288,900/259,284 - Step 6: Final answer
x = 584,121.23
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.