Finding the Third Proportional to 205,974.75 and 311,865.75
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Solution
The third proportional to 205,974.75 and 311,865.75 is: 472,194.99
Step by Step Solution
- Step 1: Write the proportion equation
205,974.75 : 311,865.75 = 311,865.75 : x - Step 2: Convert to fraction form
205,974.75/311,865.75 = 311,865.75/x - Step 3: Cross multiply
205,974.75x = 311,865.75 × 311,865.75 - Step 4: Simplify right side
205,974.75x = 97,260,246,023.06 - Step 5: Solve for x
x = 97,260,246,023.06/205,974.75 - Step 6: Final answer
x = 472,194.99
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.