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Finding the Third Proportional to 33,690 and 69,326

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Solution

The third proportional to 33,690 and 69,326 is: 142,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,690 : 69,326 = 69,326 : x
  2. Step 2: Convert to fraction form
    33,690/69,326 = 69,326/x
  3. Step 3: Cross multiply
    33,690x = 69,326 × 69,326
  4. Step 4: Simplify right side
    33,690x = 4,806,094,276
  5. Step 5: Solve for x
    x = 4,806,094,276/33,690
  6. Step 6: Final answer
    x = 142,656.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.