Finding the Third Proportional to 928 and 1,099
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Solution
The third proportional to 928 and 1,099 is: 1,301.51
Step by Step Solution
- Step 1: Write the proportion equation
928 : 1,099 = 1,099 : x - Step 2: Convert to fraction form
928/1,099 = 1,099/x - Step 3: Cross multiply
928x = 1,099 × 1,099 - Step 4: Simplify right side
928x = 1,207,801 - Step 5: Solve for x
x = 1,207,801/928 - Step 6: Final answer
x = 1,301.51
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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.