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Finding the Third Proportional to 189,978 and 296,469

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Solution

The third proportional to 189,978 and 296,469 is: 462,652.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,978 : 296,469 = 296,469 : x
  2. Step 2: Convert to fraction form
    189,978/296,469 = 296,469/x
  3. Step 3: Cross multiply
    189,978x = 296,469 × 296,469
  4. Step 4: Simplify right side
    189,978x = 87,893,867,961
  5. Step 5: Solve for x
    x = 87,893,867,961/189,978
  6. Step 6: Final answer
    x = 462,652.88

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.