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Finding the Third Proportional to 200,910 and 422,508

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Solution

The third proportional to 200,910 and 422,508 is: 888,522.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,910 : 422,508 = 422,508 : x
  2. Step 2: Convert to fraction form
    200,910/422,508 = 422,508/x
  3. Step 3: Cross multiply
    200,910x = 422,508 × 422,508
  4. Step 4: Simplify right side
    200,910x = 178,513,010,064
  5. Step 5: Solve for x
    x = 178,513,010,064/200,910
  6. Step 6: Final answer
    x = 888,522.27

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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.