Finding the Third Proportional to 311,725.13 and 398,311.17
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Solution
The third proportional to 311,725.13 and 398,311.17 is: 508,947.71
Step by Step Solution
- Step 1: Write the proportion equation
311,725.13 : 398,311.17 = 398,311.17 : x - Step 2: Convert to fraction form
311,725.13/398,311.17 = 398,311.17/x - Step 3: Cross multiply
311,725.13x = 398,311.17 × 398,311.17 - Step 4: Simplify right side
311,725.13x = 158,651,789,640.44 - Step 5: Solve for x
x = 158,651,789,640.44/311,725.13 - Step 6: Final answer
x = 508,947.71
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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.