Finding the Third Proportional to 780 and 859.50
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Solution
The third proportional to 780 and 859.50 is: 947.10
Step by Step Solution
- Step 1: Write the proportion equation
780 : 859.50 = 859.50 : x - Step 2: Convert to fraction form
780/859.50 = 859.50/x - Step 3: Cross multiply
780x = 859.50 × 859.50 - Step 4: Simplify right side
780x = 738,740.25 - Step 5: Solve for x
x = 738,740.25/780 - Step 6: Final answer
x = 947.10
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Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.