Finding the Third Proportional to 510 and 570
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Solution
The third proportional to 510 and 570 is: 637.06
Step by Step Solution
- Step 1: Write the proportion equation
510 : 570 = 570 : x - Step 2: Convert to fraction form
510/570 = 570/x - Step 3: Cross multiply
510x = 570 × 570 - Step 4: Simplify right side
510x = 324,900 - Step 5: Solve for x
x = 324,900/510 - Step 6: Final answer
x = 637.06
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Why These Related Problems?
These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.