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Finding the Third Proportional to 30,936 and 67,668

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Solution

The third proportional to 30,936 and 67,668 is: 148,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,936 : 67,668 = 67,668 : x
  2. Step 2: Convert to fraction form
    30,936/67,668 = 67,668/x
  3. Step 3: Cross multiply
    30,936x = 67,668 × 67,668
  4. Step 4: Simplify right side
    30,936x = 4,578,958,224
  5. Step 5: Solve for x
    x = 4,578,958,224/30,936
  6. Step 6: Final answer
    x = 148,013.91

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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.