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Finding the Third Proportional to 54,515 and 146,885

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Solution

The third proportional to 54,515 and 146,885 is: 395,766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,515 : 146,885 = 146,885 : x
  2. Step 2: Convert to fraction form
    54,515/146,885 = 146,885/x
  3. Step 3: Cross multiply
    54,515x = 146,885 × 146,885
  4. Step 4: Simplify right side
    54,515x = 21,575,203,225
  5. Step 5: Solve for x
    x = 21,575,203,225/54,515
  6. Step 6: Final answer
    x = 395,766.36

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.