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Finding the Third Proportional to 172,761 and 261,557.25

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Solution

The third proportional to 172,761 and 261,557.25 is: 395,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,761 : 261,557.25 = 261,557.25 : x
  2. Step 2: Convert to fraction form
    172,761/261,557.25 = 261,557.25/x
  3. Step 3: Cross multiply
    172,761x = 261,557.25 × 261,557.25
  4. Step 4: Simplify right side
    172,761x = 68,412,195,027.56
  5. Step 5: Solve for x
    x = 68,412,195,027.56/172,761
  6. Step 6: Final answer
    x = 395,993.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.