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Finding the Third Proportional to 23,848 and 52,366

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Solution

The third proportional to 23,848 and 52,366 is: 114,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,848 : 52,366 = 52,366 : x
  2. Step 2: Convert to fraction form
    23,848/52,366 = 52,366/x
  3. Step 3: Cross multiply
    23,848x = 52,366 × 52,366
  4. Step 4: Simplify right side
    23,848x = 2,742,197,956
  5. Step 5: Solve for x
    x = 2,742,197,956/23,848
  6. Step 6: Final answer
    x = 114,986.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.