Finding the Third Proportional to 106,036.50 and 224,343.50
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Solution
The third proportional to 106,036.50 and 224,343.50 is: 474,647.94
Step by Step Solution
- Step 1: Write the proportion equation
106,036.50 : 224,343.50 = 224,343.50 : x - Step 2: Convert to fraction form
106,036.50/224,343.50 = 224,343.50/x - Step 3: Cross multiply
106,036.50x = 224,343.50 × 224,343.50 - Step 4: Simplify right side
106,036.50x = 50,330,005,992.25 - Step 5: Solve for x
x = 50,330,005,992.25/106,036.50 - Step 6: Final answer
x = 474,647.94
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.