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Finding the Third Proportional to 33,489 and 73,401.50

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Solution

The third proportional to 33,489 and 73,401.50 is: 160,882.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,489 : 73,401.50 = 73,401.50 : x
  2. Step 2: Convert to fraction form
    33,489/73,401.50 = 73,401.50/x
  3. Step 3: Cross multiply
    33,489x = 73,401.50 × 73,401.50
  4. Step 4: Simplify right side
    33,489x = 5,387,780,202.25
  5. Step 5: Solve for x
    x = 5,387,780,202.25/33,489
  6. Step 6: Final answer
    x = 160,882.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.