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Finding the Third Proportional to 33,489 and 52,257.50

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Solution

The third proportional to 33,489 and 52,257.50 is: 81,544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,489 : 52,257.50 = 52,257.50 : x
  2. Step 2: Convert to fraction form
    33,489/52,257.50 = 52,257.50/x
  3. Step 3: Cross multiply
    33,489x = 52,257.50 × 52,257.50
  4. Step 4: Simplify right side
    33,489x = 2,730,846,306.25
  5. Step 5: Solve for x
    x = 2,730,846,306.25/33,489
  6. Step 6: Final answer
    x = 81,544.58

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Why These Related Problems?

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