Finding the Third Proportional to 889 and 1,017
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Solution
The third proportional to 889 and 1,017 is: 1,163.43
Step by Step Solution
- Step 1: Write the proportion equation
889 : 1,017 = 1,017 : x - Step 2: Convert to fraction form
889/1,017 = 1,017/x - Step 3: Cross multiply
889x = 1,017 × 1,017 - Step 4: Simplify right side
889x = 1,034,289 - Step 5: Solve for x
x = 1,034,289/889 - Step 6: Final answer
x = 1,163.43
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.