Finding the Third Proportional to 928 and 2,138
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Solution
The third proportional to 928 and 2,138 is: 4,925.69
Step by Step Solution
- Step 1: Write the proportion equation
928 : 2,138 = 2,138 : x - Step 2: Convert to fraction form
928/2,138 = 2,138/x - Step 3: Cross multiply
928x = 2,138 × 2,138 - Step 4: Simplify right side
928x = 4,571,044 - Step 5: Solve for x
x = 4,571,044/928 - Step 6: Final answer
x = 4,925.69
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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.