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Finding the Third Proportional to 284,910 and 422,973

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Solution

The third proportional to 284,910 and 422,973 is: 627,939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,910 : 422,973 = 422,973 : x
  2. Step 2: Convert to fraction form
    284,910/422,973 = 422,973/x
  3. Step 3: Cross multiply
    284,910x = 422,973 × 422,973
  4. Step 4: Simplify right side
    284,910x = 178,906,158,729
  5. Step 5: Solve for x
    x = 178,906,158,729/284,910
  6. Step 6: Final answer
    x = 627,939.20

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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.