Finding the Third Proportional to 685 and 1,217
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Solution
The third proportional to 685 and 1,217 is: 2,162.17
Step by Step Solution
- Step 1: Write the proportion equation
685 : 1,217 = 1,217 : x - Step 2: Convert to fraction form
685/1,217 = 1,217/x - Step 3: Cross multiply
685x = 1,217 × 1,217 - Step 4: Simplify right side
685x = 1,481,089 - Step 5: Solve for x
x = 1,481,089/685 - Step 6: Final answer
x = 2,162.17
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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.