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Finding the Third Proportional to 30,896 and 66,449

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Solution

The third proportional to 30,896 and 66,449 is: 142,913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896 : 66,449 = 66,449 : x
  2. Step 2: Convert to fraction form
    30,896/66,449 = 66,449/x
  3. Step 3: Cross multiply
    30,896x = 66,449 × 66,449
  4. Step 4: Simplify right side
    30,896x = 4,415,469,601
  5. Step 5: Solve for x
    x = 4,415,469,601/30,896
  6. Step 6: Final answer
    x = 142,913.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.