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Finding the Third Proportional to 100,435 and 209,193

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Solution

The third proportional to 100,435 and 209,193 is: 435,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,435 : 209,193 = 209,193 : x
  2. Step 2: Convert to fraction form
    100,435/209,193 = 209,193/x
  3. Step 3: Cross multiply
    100,435x = 209,193 × 209,193
  4. Step 4: Simplify right side
    100,435x = 43,761,711,249
  5. Step 5: Solve for x
    x = 43,761,711,249/100,435
  6. Step 6: Final answer
    x = 435,721.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.