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Finding the Third Proportional to 422,129 and 903,305

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Solution

The third proportional to 422,129 and 903,305 is: 1,932,963.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,129 : 903,305 = 903,305 : x
  2. Step 2: Convert to fraction form
    422,129/903,305 = 903,305/x
  3. Step 3: Cross multiply
    422,129x = 903,305 × 903,305
  4. Step 4: Simplify right side
    422,129x = 815,959,923,025
  5. Step 5: Solve for x
    x = 815,959,923,025/422,129
  6. Step 6: Final answer
    x = 1,932,963.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.