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Finding the Third Proportional to 172,561 and 270,749

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Solution

The third proportional to 172,561 and 270,749 is: 424,806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,561 : 270,749 = 270,749 : x
  2. Step 2: Convert to fraction form
    172,561/270,749 = 270,749/x
  3. Step 3: Cross multiply
    172,561x = 270,749 × 270,749
  4. Step 4: Simplify right side
    172,561x = 73,305,021,001
  5. Step 5: Solve for x
    x = 73,305,021,001/172,561
  6. Step 6: Final answer
    x = 424,806.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.