Finding the Third Proportional to 477 and 1,035
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Solution
The third proportional to 477 and 1,035 is: 2,245.75
Step by Step Solution
- Step 1: Write the proportion equation
477 : 1,035 = 1,035 : x - Step 2: Convert to fraction form
477/1,035 = 1,035/x - Step 3: Cross multiply
477x = 1,035 × 1,035 - Step 4: Simplify right side
477x = 1,071,225 - Step 5: Solve for x
x = 1,071,225/477 - Step 6: Final answer
x = 2,245.75
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.