Finding the Third Proportional to 105,956 and 224,548
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Solution
The third proportional to 105,956 and 224,548 is: 475,874.93
Step by Step Solution
- Step 1: Write the proportion equation
105,956 : 224,548 = 224,548 : x - Step 2: Convert to fraction form
105,956/224,548 = 224,548/x - Step 3: Cross multiply
105,956x = 224,548 × 224,548 - Step 4: Simplify right side
105,956x = 50,421,804,304 - Step 5: Solve for x
x = 50,421,804,304/105,956 - Step 6: Final answer
x = 475,874.93
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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.