Finding the Third Proportional to 728 and 1,577.50
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Solution
The third proportional to 728 and 1,577.50 is: 3,418.28
Step by Step Solution
- Step 1: Write the proportion equation
728 : 1,577.50 = 1,577.50 : x - Step 2: Convert to fraction form
728/1,577.50 = 1,577.50/x - Step 3: Cross multiply
728x = 1,577.50 × 1,577.50 - Step 4: Simplify right side
728x = 2,488,506.25 - Step 5: Solve for x
x = 2,488,506.25/728 - Step 6: Final answer
x = 3,418.28
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.