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Finding the Third Proportional to 381,606 and 560,745

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Solution

The third proportional to 381,606 and 560,745 is: 823,978.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,606 : 560,745 = 560,745 : x
  2. Step 2: Convert to fraction form
    381,606/560,745 = 560,745/x
  3. Step 3: Cross multiply
    381,606x = 560,745 × 560,745
  4. Step 4: Simplify right side
    381,606x = 314,434,955,025
  5. Step 5: Solve for x
    x = 314,434,955,025/381,606
  6. Step 6: Final answer
    x = 823,978.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.