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Finding the Third Proportional to 200,515 and 282,120

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Solution

The third proportional to 200,515 and 282,120 is: 396,936.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,515 : 282,120 = 282,120 : x
  2. Step 2: Convert to fraction form
    200,515/282,120 = 282,120/x
  3. Step 3: Cross multiply
    200,515x = 282,120 × 282,120
  4. Step 4: Simplify right side
    200,515x = 79,591,694,400
  5. Step 5: Solve for x
    x = 79,591,694,400/200,515
  6. Step 6: Final answer
    x = 396,936.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.