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Finding the Third Proportional to 138.31 and 289.88

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Solution

The third proportional to 138.31 and 289.88 is: 607.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.31 : 289.88 = 289.88 : x
  2. Step 2: Convert to fraction form
    138.31/289.88 = 289.88/x
  3. Step 3: Cross multiply
    138.31x = 289.88 × 289.88
  4. Step 4: Simplify right side
    138.31x = 84,027.52
  5. Step 5: Solve for x
    x = 84,027.52/138.31
  6. Step 6: Final answer
    x = 607.52

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