Finding the Third Proportional to 176,510 and 269,381
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Solution
The third proportional to 176,510 and 269,381 is: 411,116.22
Step by Step Solution
- Step 1: Write the proportion equation
176,510 : 269,381 = 269,381 : x - Step 2: Convert to fraction form
176,510/269,381 = 269,381/x - Step 3: Cross multiply
176,510x = 269,381 × 269,381 - Step 4: Simplify right side
176,510x = 72,566,123,161 - Step 5: Solve for x
x = 72,566,123,161/176,510 - Step 6: Final answer
x = 411,116.22
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.