Finding the Third Proportional to 784 and 2,128
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Solution
The third proportional to 784 and 2,128 is: 5,776
Step by Step Solution
- Step 1: Write the proportion equation
784 : 2,128 = 2,128 : x - Step 2: Convert to fraction form
784/2,128 = 2,128/x - Step 3: Cross multiply
784x = 2,128 × 2,128 - Step 4: Simplify right side
784x = 4,528,384 - Step 5: Solve for x
x = 4,528,384/784 - Step 6: Final answer
x = 5,776
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Why These Related Problems?
These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.