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Finding the Third Proportional to 50,776 and 111,673

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Solution

The third proportional to 50,776 and 111,673 is: 245,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,776 : 111,673 = 111,673 : x
  2. Step 2: Convert to fraction form
    50,776/111,673 = 111,673/x
  3. Step 3: Cross multiply
    50,776x = 111,673 × 111,673
  4. Step 4: Simplify right side
    50,776x = 12,470,858,929
  5. Step 5: Solve for x
    x = 12,470,858,929/50,776
  6. Step 6: Final answer
    x = 245,605.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.