Finding the Third Proportional to 732 and 1,138.50
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Solution
The third proportional to 732 and 1,138.50 is: 1,770.74
Step by Step Solution
- Step 1: Write the proportion equation
732 : 1,138.50 = 1,138.50 : x - Step 2: Convert to fraction form
732/1,138.50 = 1,138.50/x - Step 3: Cross multiply
732x = 1,138.50 × 1,138.50 - Step 4: Simplify right side
732x = 1,296,182.25 - Step 5: Solve for x
x = 1,296,182.25/732 - Step 6: Final answer
x = 1,770.74
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.