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Finding the Third Proportional to 284,876 and 422,922

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Solution

The third proportional to 284,876 and 422,922 is: 627,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,876 : 422,922 = 422,922 : x
  2. Step 2: Convert to fraction form
    284,876/422,922 = 422,922/x
  3. Step 3: Cross multiply
    284,876x = 422,922 × 422,922
  4. Step 4: Simplify right side
    284,876x = 178,863,018,084
  5. Step 5: Solve for x
    x = 178,863,018,084/284,876
  6. Step 6: Final answer
    x = 627,862.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.