Finding the Third Proportional to 538 and 776.50
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Solution
The third proportional to 538 and 776.50 is: 1,120.73
Step by Step Solution
- Step 1: Write the proportion equation
538 : 776.50 = 776.50 : x - Step 2: Convert to fraction form
538/776.50 = 776.50/x - Step 3: Cross multiply
538x = 776.50 × 776.50 - Step 4: Simplify right side
538x = 602,952.25 - Step 5: Solve for x
x = 602,952.25/538 - Step 6: Final answer
x = 1,120.73
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.