Finding the Third Proportional to 224,734 and 491,448
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Solution
The third proportional to 224,734 and 491,448 is: 1,074,697.81
Step by Step Solution
- Step 1: Write the proportion equation
224,734 : 491,448 = 491,448 : x - Step 2: Convert to fraction form
224,734/491,448 = 491,448/x - Step 3: Cross multiply
224,734x = 491,448 × 491,448 - Step 4: Simplify right side
224,734x = 241,521,136,704 - Step 5: Solve for x
x = 241,521,136,704/224,734 - Step 6: Final answer
x = 1,074,697.81
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.