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Finding the Third Proportional to 201,228 and 422,040

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Solution

The third proportional to 201,228 and 422,040 is: 885,153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,228 : 422,040 = 422,040 : x
  2. Step 2: Convert to fraction form
    201,228/422,040 = 422,040/x
  3. Step 3: Cross multiply
    201,228x = 422,040 × 422,040
  4. Step 4: Simplify right side
    201,228x = 178,117,761,600
  5. Step 5: Solve for x
    x = 178,117,761,600/201,228
  6. Step 6: Final answer
    x = 885,153.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.