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Finding the Third Proportional to 201,270 and 411,279

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Solution

The third proportional to 201,270 and 411,279 is: 840,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,270 : 411,279 = 411,279 : x
  2. Step 2: Convert to fraction form
    201,270/411,279 = 411,279/x
  3. Step 3: Cross multiply
    201,270x = 411,279 × 411,279
  4. Step 4: Simplify right side
    201,270x = 169,150,415,841
  5. Step 5: Solve for x
    x = 169,150,415,841/201,270
  6. Step 6: Final answer
    x = 840,415.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.