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Finding the Third Proportional to 422,482 and 939,422

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Solution

The third proportional to 422,482 and 939,422 is: 2,088,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,482 : 939,422 = 939,422 : x
  2. Step 2: Convert to fraction form
    422,482/939,422 = 939,422/x
  3. Step 3: Cross multiply
    422,482x = 939,422 × 939,422
  4. Step 4: Simplify right side
    422,482x = 882,513,694,084
  5. Step 5: Solve for x
    x = 882,513,694,084/422,482
  6. Step 6: Final answer
    x = 2,088,878.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.