Finding the Third Proportional to 894 and 1,022
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Solution
The third proportional to 894 and 1,022 is: 1,168.33
Step by Step Solution
- Step 1: Write the proportion equation
894 : 1,022 = 1,022 : x - Step 2: Convert to fraction form
894/1,022 = 1,022/x - Step 3: Cross multiply
894x = 1,022 × 1,022 - Step 4: Simplify right side
894x = 1,044,484 - Step 5: Solve for x
x = 1,044,484/894 - Step 6: Final answer
x = 1,168.33
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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.