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Finding the Third Proportional to 172,919.81 and 354,450.94

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Solution

The third proportional to 172,919.81 and 354,450.94 is: 726,553.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,919.81 : 354,450.94 = 354,450.94 : x
  2. Step 2: Convert to fraction form
    172,919.81/354,450.94 = 354,450.94/x
  3. Step 3: Cross multiply
    172,919.81x = 354,450.94 × 354,450.94
  4. Step 4: Simplify right side
    172,919.81x = 125,635,467,094.63
  5. Step 5: Solve for x
    x = 125,635,467,094.63/172,919.81
  6. Step 6: Final answer
    x = 726,553.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.