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Finding the Third Proportional to 172,777.50 and 261,581.25

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Solution

The third proportional to 172,777.50 and 261,581.25 is: 396,028.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,777.50 : 261,581.25 = 261,581.25 : x
  2. Step 2: Convert to fraction form
    172,777.50/261,581.25 = 261,581.25/x
  3. Step 3: Cross multiply
    172,777.50x = 261,581.25 × 261,581.25
  4. Step 4: Simplify right side
    172,777.50x = 68,424,750,351.56
  5. Step 5: Solve for x
    x = 68,424,750,351.56/172,777.50
  6. Step 6: Final answer
    x = 396,028.13

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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.