Finding the Third Proportional to 415 and 1,006.50
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Solution
The third proportional to 415 and 1,006.50 is: 2,441.07
Step by Step Solution
- Step 1: Write the proportion equation
415 : 1,006.50 = 1,006.50 : x - Step 2: Convert to fraction form
415/1,006.50 = 1,006.50/x - Step 3: Cross multiply
415x = 1,006.50 × 1,006.50 - Step 4: Simplify right side
415x = 1,013,042.25 - Step 5: Solve for x
x = 1,013,042.25/415 - Step 6: Final answer
x = 2,441.07
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Why These Related Problems?
These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.