Finding the Third Proportional to 299,953.13 and 421,863.19
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Solution
The third proportional to 299,953.13 and 421,863.19 is: 593,321.20
Step by Step Solution
- Step 1: Write the proportion equation
299,953.13 : 421,863.19 = 421,863.19 : x - Step 2: Convert to fraction form
299,953.13/421,863.19 = 421,863.19/x - Step 3: Cross multiply
299,953.13x = 421,863.19 × 421,863.19 - Step 4: Simplify right side
299,953.13x = 177,968,548,967.66 - Step 5: Solve for x
x = 177,968,548,967.66/299,953.13 - Step 6: Final answer
x = 593,321.20
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.