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Finding the Third Proportional to 54,978 and 122,548

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Solution

The third proportional to 54,978 and 122,548 is: 273,164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978 : 122,548 = 122,548 : x
  2. Step 2: Convert to fraction form
    54,978/122,548 = 122,548/x
  3. Step 3: Cross multiply
    54,978x = 122,548 × 122,548
  4. Step 4: Simplify right side
    54,978x = 15,018,012,304
  5. Step 5: Solve for x
    x = 15,018,012,304/54,978
  6. Step 6: Final answer
    x = 273,164.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.