Finding the Third Proportional to 731 and 1,102
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Solution
The third proportional to 731 and 1,102 is: 1,661.29
Step by Step Solution
- Step 1: Write the proportion equation
731 : 1,102 = 1,102 : x - Step 2: Convert to fraction form
731/1,102 = 1,102/x - Step 3: Cross multiply
731x = 1,102 × 1,102 - Step 4: Simplify right side
731x = 1,214,404 - Step 5: Solve for x
x = 1,214,404/731 - Step 6: Final answer
x = 1,661.29
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.