Finding the Third Proportional to 269,228.25 and 416,823.75
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Solution
The third proportional to 269,228.25 and 416,823.75 is: 645,333.61
Step by Step Solution
- Step 1: Write the proportion equation
269,228.25 : 416,823.75 = 416,823.75 : x - Step 2: Convert to fraction form
269,228.25/416,823.75 = 416,823.75/x - Step 3: Cross multiply
269,228.25x = 416,823.75 × 416,823.75 - Step 4: Simplify right side
269,228.25x = 173,742,038,564.06 - Step 5: Solve for x
x = 173,742,038,564.06/269,228.25 - Step 6: Final answer
x = 645,333.61
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.