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Finding the Third Proportional to 201,226 and 422,036

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Solution

The third proportional to 201,226 and 422,036 is: 885,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,226 : 422,036 = 422,036 : x
  2. Step 2: Convert to fraction form
    201,226/422,036 = 422,036/x
  3. Step 3: Cross multiply
    201,226x = 422,036 × 422,036
  4. Step 4: Simplify right side
    201,226x = 178,114,385,296
  5. Step 5: Solve for x
    x = 178,114,385,296/201,226
  6. Step 6: Final answer
    x = 885,145.98

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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.