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Finding the Third Proportional to 381,622 and 560,764

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Solution

The third proportional to 381,622 and 560,764 is: 823,999.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,622 : 560,764 = 560,764 : x
  2. Step 2: Convert to fraction form
    381,622/560,764 = 560,764/x
  3. Step 3: Cross multiply
    381,622x = 560,764 × 560,764
  4. Step 4: Simplify right side
    381,622x = 314,456,263,696
  5. Step 5: Solve for x
    x = 314,456,263,696/381,622
  6. Step 6: Final answer
    x = 823,999.31

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Why These Related Problems?

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