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Finding the Third Proportional to 33,431 and 69,664

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Solution

The third proportional to 33,431 and 69,664 is: 145,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,431 : 69,664 = 69,664 : x
  2. Step 2: Convert to fraction form
    33,431/69,664 = 69,664/x
  3. Step 3: Cross multiply
    33,431x = 69,664 × 69,664
  4. Step 4: Simplify right side
    33,431x = 4,853,072,896
  5. Step 5: Solve for x
    x = 4,853,072,896/33,431
  6. Step 6: Final answer
    x = 145,166.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.