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Finding the Third Proportional to 201,218 and 422,020

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Solution

The third proportional to 201,218 and 422,020 is: 885,114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,218 : 422,020 = 422,020 : x
  2. Step 2: Convert to fraction form
    201,218/422,020 = 422,020/x
  3. Step 3: Cross multiply
    201,218x = 422,020 × 422,020
  4. Step 4: Simplify right side
    201,218x = 178,100,880,400
  5. Step 5: Solve for x
    x = 178,100,880,400/201,218
  6. Step 6: Final answer
    x = 885,114.06

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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.