Finding the Third Proportional to 784 and 1,712
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Solution
The third proportional to 784 and 1,712 is: 3,738.45
Step by Step Solution
- Step 1: Write the proportion equation
784 : 1,712 = 1,712 : x - Step 2: Convert to fraction form
784/1,712 = 1,712/x - Step 3: Cross multiply
784x = 1,712 × 1,712 - Step 4: Simplify right side
784x = 2,930,944 - Step 5: Solve for x
x = 2,930,944/784 - Step 6: Final answer
x = 3,738.45
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.