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Finding the Third Proportional to 201,328 and 422,240

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Solution

The third proportional to 201,328 and 422,240 is: 885,553.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,328 : 422,240 = 422,240 : x
  2. Step 2: Convert to fraction form
    201,328/422,240 = 422,240/x
  3. Step 3: Cross multiply
    201,328x = 422,240 × 422,240
  4. Step 4: Simplify right side
    201,328x = 178,286,617,600
  5. Step 5: Solve for x
    x = 178,286,617,600/201,328
  6. Step 6: Final answer
    x = 885,553.02

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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.