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Finding the Third Proportional to 200,911 and 422,509

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Solution

The third proportional to 200,911 and 422,509 is: 888,522.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,911 : 422,509 = 422,509 : x
  2. Step 2: Convert to fraction form
    200,911/422,509 = 422,509/x
  3. Step 3: Cross multiply
    200,911x = 422,509 × 422,509
  4. Step 4: Simplify right side
    200,911x = 178,513,855,081
  5. Step 5: Solve for x
    x = 178,513,855,081/200,911
  6. Step 6: Final answer
    x = 888,522.06

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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.