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Finding the Third Proportional to 201,296 and 411,331

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Solution

The third proportional to 201,296 and 411,331 is: 840,519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,296 : 411,331 = 411,331 : x
  2. Step 2: Convert to fraction form
    201,296/411,331 = 411,331/x
  3. Step 3: Cross multiply
    201,296x = 411,331 × 411,331
  4. Step 4: Simplify right side
    201,296x = 169,193,191,561
  5. Step 5: Solve for x
    x = 169,193,191,561/201,296
  6. Step 6: Final answer
    x = 840,519.39

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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.