Finding the Third Proportional to 455 and 780
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Solution
The third proportional to 455 and 780 is: 1,337.14
Step by Step Solution
- Step 1: Write the proportion equation
455 : 780 = 780 : x - Step 2: Convert to fraction form
455/780 = 780/x - Step 3: Cross multiply
455x = 780 × 780 - Step 4: Simplify right side
455x = 608,400 - Step 5: Solve for x
x = 608,400/455 - Step 6: Final answer
x = 1,337.14
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Why These Related Problems?
These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.