Finding the Third Proportional to 709 and 1,247
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Solution
The third proportional to 709 and 1,247 is: 2,193.24
Step by Step Solution
- Step 1: Write the proportion equation
709 : 1,247 = 1,247 : x - Step 2: Convert to fraction form
709/1,247 = 1,247/x - Step 3: Cross multiply
709x = 1,247 × 1,247 - Step 4: Simplify right side
709x = 1,555,009 - Step 5: Solve for x
x = 1,555,009/709 - Step 6: Final answer
x = 2,193.24
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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.