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Finding the Third Proportional to 172,692 and 374,928.75

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Solution

The third proportional to 172,692 and 374,928.75 is: 814,001.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,692 : 374,928.75 = 374,928.75 : x
  2. Step 2: Convert to fraction form
    172,692/374,928.75 = 374,928.75/x
  3. Step 3: Cross multiply
    172,692x = 374,928.75 × 374,928.75
  4. Step 4: Simplify right side
    172,692x = 140,571,567,576.56
  5. Step 5: Solve for x
    x = 140,571,567,576.56/172,692
  6. Step 6: Final answer
    x = 814,001.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.