Finding the Third Proportional to 783 and 873
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Solution
The third proportional to 783 and 873 is: 973.34
Step by Step Solution
- Step 1: Write the proportion equation
783 : 873 = 873 : x - Step 2: Convert to fraction form
783/873 = 873/x - Step 3: Cross multiply
783x = 873 × 873 - Step 4: Simplify right side
783x = 762,129 - Step 5: Solve for x
x = 762,129/783 - Step 6: Final answer
x = 973.34
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.