Finding the Third Proportional to 380,072.25 and 513,033.75
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Solution
The third proportional to 380,072.25 and 513,033.75 is: 692,509.46
Step by Step Solution
- Step 1: Write the proportion equation
380,072.25 : 513,033.75 = 513,033.75 : x - Step 2: Convert to fraction form
380,072.25/513,033.75 = 513,033.75/x - Step 3: Cross multiply
380,072.25x = 513,033.75 × 513,033.75 - Step 4: Simplify right side
380,072.25x = 263,203,628,639.06 - Step 5: Solve for x
x = 263,203,628,639.06/380,072.25 - Step 6: Final answer
x = 692,509.46
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.