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Finding the Third Proportional to 201,222 and 422,028

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Solution

The third proportional to 201,222 and 422,028 is: 885,130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,222 : 422,028 = 422,028 : x
  2. Step 2: Convert to fraction form
    201,222/422,028 = 422,028/x
  3. Step 3: Cross multiply
    201,222x = 422,028 × 422,028
  4. Step 4: Simplify right side
    201,222x = 178,107,632,784
  5. Step 5: Solve for x
    x = 178,107,632,784/201,222
  6. Step 6: Final answer
    x = 885,130.02

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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.