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Finding the Third Proportional to 105,728 and 227,961

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Solution

The third proportional to 105,728 and 227,961 is: 491,508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,728 : 227,961 = 227,961 : x
  2. Step 2: Convert to fraction form
    105,728/227,961 = 227,961/x
  3. Step 3: Cross multiply
    105,728x = 227,961 × 227,961
  4. Step 4: Simplify right side
    105,728x = 51,966,217,521
  5. Step 5: Solve for x
    x = 51,966,217,521/105,728
  6. Step 6: Final answer
    x = 491,508.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.