Finding the Third Proportional to 780 and 1,336
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Solution
The third proportional to 780 and 1,336 is: 2,288.33
Step by Step Solution
- Step 1: Write the proportion equation
780 : 1,336 = 1,336 : x - Step 2: Convert to fraction form
780/1,336 = 1,336/x - Step 3: Cross multiply
780x = 1,336 × 1,336 - Step 4: Simplify right side
780x = 1,784,896 - Step 5: Solve for x
x = 1,784,896/780 - Step 6: Final answer
x = 2,288.33
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These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.