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Finding the Third Proportional to 81,978 and 120,051

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Solution

The third proportional to 81,978 and 120,051 is: 175,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,978 : 120,051 = 120,051 : x
  2. Step 2: Convert to fraction form
    81,978/120,051 = 120,051/x
  3. Step 3: Cross multiply
    81,978x = 120,051 × 120,051
  4. Step 4: Simplify right side
    81,978x = 14,412,242,601
  5. Step 5: Solve for x
    x = 14,412,242,601/81,978
  6. Step 6: Final answer
    x = 175,806.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.