Finding the Third Proportional to 510 and 622.50
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Solution
The third proportional to 510 and 622.50 is: 759.82
Step by Step Solution
- Step 1: Write the proportion equation
510 : 622.50 = 622.50 : x - Step 2: Convert to fraction form
510/622.50 = 622.50/x - Step 3: Cross multiply
510x = 622.50 × 622.50 - Step 4: Simplify right side
510x = 387,506.25 - Step 5: Solve for x
x = 387,506.25/510 - Step 6: Final answer
x = 759.82
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Why These Related Problems?
These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.