Finding the Third Proportional to 783 and 1,503
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Solution
The third proportional to 783 and 1,503 is: 2,885.07
Step by Step Solution
- Step 1: Write the proportion equation
783 : 1,503 = 1,503 : x - Step 2: Convert to fraction form
783/1,503 = 1,503/x - Step 3: Cross multiply
783x = 1,503 × 1,503 - Step 4: Simplify right side
783x = 2,259,009 - Step 5: Solve for x
x = 2,259,009/783 - Step 6: Final answer
x = 2,885.07
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Why These Related Problems?
These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.