Finding the Third Proportional to 269,226 and 422,395
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Solution
The third proportional to 269,226 and 422,395 is: 662,705.44
Step by Step Solution
- Step 1: Write the proportion equation
269,226 : 422,395 = 422,395 : x - Step 2: Convert to fraction form
269,226/422,395 = 422,395/x - Step 3: Cross multiply
269,226x = 422,395 × 422,395 - Step 4: Simplify right side
269,226x = 178,417,536,025 - Step 5: Solve for x
x = 178,417,536,025/269,226 - Step 6: Final answer
x = 662,705.44
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.