Finding the Third Proportional to 189,204.19 and 284,603.63
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Solution
The third proportional to 189,204.19 and 284,603.63 is: 428,104.81
Step by Step Solution
- Step 1: Write the proportion equation
189,204.19 : 284,603.63 = 284,603.63 : x - Step 2: Convert to fraction form
189,204.19/284,603.63 = 284,603.63/x - Step 3: Cross multiply
189,204.19x = 284,603.63 × 284,603.63 - Step 4: Simplify right side
189,204.19x = 80,999,223,363.14 - Step 5: Solve for x
x = 80,999,223,363.14/189,204.19 - Step 6: Final answer
x = 428,104.81
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.