Finding the Third Proportional to 81,283.50 and 198,409.50
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Solution
The third proportional to 81,283.50 and 198,409.50 is: 484,308.99
Step by Step Solution
- Step 1: Write the proportion equation
81,283.50 : 198,409.50 = 198,409.50 : x - Step 2: Convert to fraction form
81,283.50/198,409.50 = 198,409.50/x - Step 3: Cross multiply
81,283.50x = 198,409.50 × 198,409.50 - Step 4: Simplify right side
81,283.50x = 39,366,329,690.25 - Step 5: Solve for x
x = 39,366,329,690.25/81,283.50 - Step 6: Final answer
x = 484,308.99
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These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.