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Finding the Third Proportional to 201,277 and 411,293

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Solution

The third proportional to 201,277 and 411,293 is: 840,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,277 : 411,293 = 411,293 : x
  2. Step 2: Convert to fraction form
    201,277/411,293 = 411,293/x
  3. Step 3: Cross multiply
    201,277x = 411,293 × 411,293
  4. Step 4: Simplify right side
    201,277x = 169,161,931,849
  5. Step 5: Solve for x
    x = 169,161,931,849/201,277
  6. Step 6: Final answer
    x = 840,443.43

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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.