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Finding the Third Proportional to 190,836 and 280,422

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Solution

The third proportional to 190,836 and 280,422 is: 412,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,836 : 280,422 = 280,422 : x
  2. Step 2: Convert to fraction form
    190,836/280,422 = 280,422/x
  3. Step 3: Cross multiply
    190,836x = 280,422 × 280,422
  4. Step 4: Simplify right side
    190,836x = 78,636,498,084
  5. Step 5: Solve for x
    x = 78,636,498,084/190,836
  6. Step 6: Final answer
    x = 412,063.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.