Finding the Third Proportional to 278,312.63 and 422,754.19
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Solution
The third proportional to 278,312.63 and 422,754.19 is: 642,159.52
Step by Step Solution
- Step 1: Write the proportion equation
278,312.63 : 422,754.19 = 422,754.19 : x - Step 2: Convert to fraction form
278,312.63/422,754.19 = 422,754.19/x - Step 3: Cross multiply
278,312.63x = 422,754.19 × 422,754.19 - Step 4: Simplify right side
278,312.63x = 178,721,103,048.79 - Step 5: Solve for x
x = 178,721,103,048.79/278,312.63 - Step 6: Final answer
x = 642,159.52
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.