Finding the Third Proportional to 785 and 938
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Solution
The third proportional to 785 and 938 is: 1,120.82
Step by Step Solution
- Step 1: Write the proportion equation
785 : 938 = 938 : x - Step 2: Convert to fraction form
785/938 = 938/x - Step 3: Cross multiply
785x = 938 × 938 - Step 4: Simplify right side
785x = 879,844 - Step 5: Solve for x
x = 879,844/785 - Step 6: Final answer
x = 1,120.82
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Why These Related Problems?
These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.