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Finding the Third Proportional to 33,489 and 70,425

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Solution

The third proportional to 33,489 and 70,425 is: 148,098.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,489 : 70,425 = 70,425 : x
  2. Step 2: Convert to fraction form
    33,489/70,425 = 70,425/x
  3. Step 3: Cross multiply
    33,489x = 70,425 × 70,425
  4. Step 4: Simplify right side
    33,489x = 4,959,680,625
  5. Step 5: Solve for x
    x = 4,959,680,625/33,489
  6. Step 6: Final answer
    x = 148,098.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.