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Finding the Third Proportional to 269,610 and 422,904

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Solution

The third proportional to 269,610 and 422,904 is: 663,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,610 : 422,904 = 422,904 : x
  2. Step 2: Convert to fraction form
    269,610/422,904 = 422,904/x
  3. Step 3: Cross multiply
    269,610x = 422,904 × 422,904
  4. Step 4: Simplify right side
    269,610x = 178,847,793,216
  5. Step 5: Solve for x
    x = 178,847,793,216/269,610
  6. Step 6: Final answer
    x = 663,357.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.