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Finding the Third Proportional to 172,500 and 261,668

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Solution

The third proportional to 172,500 and 261,668 is: 396,928.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,500 : 261,668 = 261,668 : x
  2. Step 2: Convert to fraction form
    172,500/261,668 = 261,668/x
  3. Step 3: Cross multiply
    172,500x = 261,668 × 261,668
  4. Step 4: Simplify right side
    172,500x = 68,470,142,224
  5. Step 5: Solve for x
    x = 68,470,142,224/172,500
  6. Step 6: Final answer
    x = 396,928.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.