Finding the Third Proportional to 732 and 1,230
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Solution
The third proportional to 732 and 1,230 is: 2,066.80
Step by Step Solution
- Step 1: Write the proportion equation
732 : 1,230 = 1,230 : x - Step 2: Convert to fraction form
732/1,230 = 1,230/x - Step 3: Cross multiply
732x = 1,230 × 1,230 - Step 4: Simplify right side
732x = 1,512,900 - Step 5: Solve for x
x = 1,512,900/732 - Step 6: Final answer
x = 2,066.80
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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.