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Finding the Third Proportional to 201,755 and 436,909

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Solution

The third proportional to 201,755 and 436,909 is: 946,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,755 : 436,909 = 436,909 : x
  2. Step 2: Convert to fraction form
    201,755/436,909 = 436,909/x
  3. Step 3: Cross multiply
    201,755x = 436,909 × 436,909
  4. Step 4: Simplify right side
    201,755x = 190,889,474,281
  5. Step 5: Solve for x
    x = 190,889,474,281/201,755
  6. Step 6: Final answer
    x = 946,144.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.