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Finding the Third Proportional to 54,978 and 120,036

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Solution

The third proportional to 54,978 and 120,036 is: 262,080.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978 : 120,036 = 120,036 : x
  2. Step 2: Convert to fraction form
    54,978/120,036 = 120,036/x
  3. Step 3: Cross multiply
    54,978x = 120,036 × 120,036
  4. Step 4: Simplify right side
    54,978x = 14,408,641,296
  5. Step 5: Solve for x
    x = 14,408,641,296/54,978
  6. Step 6: Final answer
    x = 262,080.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.