Finding the Third Proportional to 789 and 1,260.50
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Solution
The third proportional to 789 and 1,260.50 is: 2,013.76
Step by Step Solution
- Step 1: Write the proportion equation
789 : 1,260.50 = 1,260.50 : x - Step 2: Convert to fraction form
789/1,260.50 = 1,260.50/x - Step 3: Cross multiply
789x = 1,260.50 × 1,260.50 - Step 4: Simplify right side
789x = 1,588,860.25 - Step 5: Solve for x
x = 1,588,860.25/789 - Step 6: Final answer
x = 2,013.76
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Why These Related Problems?
These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.