Finding the Third Proportional to 786 and 1,629
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Solution
The third proportional to 786 and 1,629 is: 3,376.13
Step by Step Solution
- Step 1: Write the proportion equation
786 : 1,629 = 1,629 : x - Step 2: Convert to fraction form
786/1,629 = 1,629/x - Step 3: Cross multiply
786x = 1,629 × 1,629 - Step 4: Simplify right side
786x = 2,653,641 - Step 5: Solve for x
x = 2,653,641/786 - Step 6: Final answer
x = 3,376.13
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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.