Finding the Third Proportional to 510 and 1,050
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Solution
The third proportional to 510 and 1,050 is: 2,161.76
Step by Step Solution
- Step 1: Write the proportion equation
510 : 1,050 = 1,050 : x - Step 2: Convert to fraction form
510/1,050 = 1,050/x - Step 3: Cross multiply
510x = 1,050 × 1,050 - Step 4: Simplify right side
510x = 1,102,500 - Step 5: Solve for x
x = 1,102,500/510 - Step 6: Final answer
x = 2,161.76
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Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.