Finding the Third Proportional to 917 and 1,717
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Solution
The third proportional to 917 and 1,717 is: 3,214.93
Step by Step Solution
- Step 1: Write the proportion equation
917 : 1,717 = 1,717 : x - Step 2: Convert to fraction form
917/1,717 = 1,717/x - Step 3: Cross multiply
917x = 1,717 × 1,717 - Step 4: Simplify right side
917x = 2,948,089 - Step 5: Solve for x
x = 2,948,089/917 - Step 6: Final answer
x = 3,214.93
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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.