Finding the Third Proportional to 269,217.42 and 416,807.02
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Solution
The third proportional to 269,217.42 and 416,807.02 is: 645,307.75
Step by Step Solution
- Step 1: Write the proportion equation
269,217.42 : 416,807.02 = 416,807.02 : x - Step 2: Convert to fraction form
269,217.42/416,807.02 = 416,807.02/x - Step 3: Cross multiply
269,217.42x = 416,807.02 × 416,807.02 - Step 4: Simplify right side
269,217.42x = 173,728,088,274.22 - Step 5: Solve for x
x = 173,728,088,274.22/269,217.42 - Step 6: Final answer
x = 645,307.75
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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.