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Finding the Third Proportional to 54,652 and 81,978

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Solution

The third proportional to 54,652 and 81,978 is: 122,967

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,652 : 81,978 = 81,978 : x
  2. Step 2: Convert to fraction form
    54,652/81,978 = 81,978/x
  3. Step 3: Cross multiply
    54,652x = 81,978 × 81,978
  4. Step 4: Simplify right side
    54,652x = 6,720,392,484
  5. Step 5: Solve for x
    x = 6,720,392,484/54,652
  6. Step 6: Final answer
    x = 122,967

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.