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Finding the Third Proportional to 33,848 and 51,566

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Solution

The third proportional to 33,848 and 51,566 is: 78,558.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,848 : 51,566 = 51,566 : x
  2. Step 2: Convert to fraction form
    33,848/51,566 = 51,566/x
  3. Step 3: Cross multiply
    33,848x = 51,566 × 51,566
  4. Step 4: Simplify right side
    33,848x = 2,659,052,356
  5. Step 5: Solve for x
    x = 2,659,052,356/33,848
  6. Step 6: Final answer
    x = 78,558.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.