Finding the Third Proportional to 505 and 575.50
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Solution
The third proportional to 505 and 575.50 is: 655.84
Step by Step Solution
- Step 1: Write the proportion equation
505 : 575.50 = 575.50 : x - Step 2: Convert to fraction form
505/575.50 = 575.50/x - Step 3: Cross multiply
505x = 575.50 × 575.50 - Step 4: Simplify right side
505x = 331,200.25 - Step 5: Solve for x
x = 331,200.25/505 - Step 6: Final answer
x = 655.84
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.