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Finding the Third Proportional to 129,608 and 165,616

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Solution

The third proportional to 129,608 and 165,616 is: 211,627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,608 : 165,616 = 165,616 : x
  2. Step 2: Convert to fraction form
    129,608/165,616 = 165,616/x
  3. Step 3: Cross multiply
    129,608x = 165,616 × 165,616
  4. Step 4: Simplify right side
    129,608x = 27,428,659,456
  5. Step 5: Solve for x
    x = 27,428,659,456/129,608
  6. Step 6: Final answer
    x = 211,627.83

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.