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Finding the Third Proportional to 422,600 and 928,144

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Solution

The third proportional to 422,600 and 928,144 is: 2,038,455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,600 : 928,144 = 928,144 : x
  2. Step 2: Convert to fraction form
    422,600/928,144 = 928,144/x
  3. Step 3: Cross multiply
    422,600x = 928,144 × 928,144
  4. Step 4: Simplify right side
    422,600x = 861,451,284,736
  5. Step 5: Solve for x
    x = 861,451,284,736/422,600
  6. Step 6: Final answer
    x = 2,038,455.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.