Finding the Third Proportional to 201,038.25 and 311,412.75
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Solution
The third proportional to 201,038.25 and 311,412.75 is: 482,385.32
Step by Step Solution
- Step 1: Write the proportion equation
201,038.25 : 311,412.75 = 311,412.75 : x - Step 2: Convert to fraction form
201,038.25/311,412.75 = 311,412.75/x - Step 3: Cross multiply
201,038.25x = 311,412.75 × 311,412.75 - Step 4: Simplify right side
201,038.25x = 96,977,900,862.56 - Step 5: Solve for x
x = 96,977,900,862.56/201,038.25 - Step 6: Final answer
x = 482,385.32
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.