Finding the Third Proportional to 213,165.84 and 311,432.06
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Solution
The third proportional to 213,165.84 and 311,432.06 is: 454,997.52
Step by Step Solution
- Step 1: Write the proportion equation
213,165.84 : 311,432.06 = 311,432.06 : x - Step 2: Convert to fraction form
213,165.84/311,432.06 = 311,432.06/x - Step 3: Cross multiply
213,165.84x = 311,432.06 × 311,432.06 - Step 4: Simplify right side
213,165.84x = 96,989,929,553.00 - Step 5: Solve for x
x = 96,989,929,553.00/213,165.84 - Step 6: Final answer
x = 454,997.52
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.