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Finding the Third Proportional to 172,199.25 and 377,628.75

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Solution

The third proportional to 172,199.25 and 377,628.75 is: 828,130.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,199.25 : 377,628.75 = 377,628.75 : x
  2. Step 2: Convert to fraction form
    172,199.25/377,628.75 = 377,628.75/x
  3. Step 3: Cross multiply
    172,199.25x = 377,628.75 × 377,628.75
  4. Step 4: Simplify right side
    172,199.25x = 142,603,472,826.56
  5. Step 5: Solve for x
    x = 142,603,472,826.56/172,199.25
  6. Step 6: Final answer
    x = 828,130.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.