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Finding the Third Proportional to 201,287 and 411,314

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Solution

The third proportional to 201,287 and 411,314 is: 840,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,287 : 411,314 = 411,314 : x
  2. Step 2: Convert to fraction form
    201,287/411,314 = 411,314/x
  3. Step 3: Cross multiply
    201,287x = 411,314 × 411,314
  4. Step 4: Simplify right side
    201,287x = 169,179,206,596
  5. Step 5: Solve for x
    x = 169,179,206,596/201,287
  6. Step 6: Final answer
    x = 840,487.50

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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.