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Finding the Third Proportional to 200,811 and 422,331

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Solution

The third proportional to 200,811 and 422,331 is: 888,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,811 : 422,331 = 422,331 : x
  2. Step 2: Convert to fraction form
    200,811/422,331 = 422,331/x
  3. Step 3: Cross multiply
    200,811x = 422,331 × 422,331
  4. Step 4: Simplify right side
    200,811x = 178,363,473,561
  5. Step 5: Solve for x
    x = 178,363,473,561/200,811
  6. Step 6: Final answer
    x = 888,215.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.