Finding the Third Proportional to 205,021.13 and 288,586.55
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Solution
The third proportional to 205,021.13 and 288,586.55 is: 406,212.75
Step by Step Solution
- Step 1: Write the proportion equation
205,021.13 : 288,586.55 = 288,586.55 : x - Step 2: Convert to fraction form
205,021.13/288,586.55 = 288,586.55/x - Step 3: Cross multiply
205,021.13x = 288,586.55 × 288,586.55 - Step 4: Simplify right side
205,021.13x = 83,282,195,037.24 - Step 5: Solve for x
x = 83,282,195,037.24/205,021.13 - Step 6: Final answer
x = 406,212.75
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.