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Finding the Third Proportional to 201,231 and 415,218

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Solution

The third proportional to 201,231 and 415,218 is: 856,756.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,231 : 415,218 = 415,218 : x
  2. Step 2: Convert to fraction form
    201,231/415,218 = 415,218/x
  3. Step 3: Cross multiply
    201,231x = 415,218 × 415,218
  4. Step 4: Simplify right side
    201,231x = 172,405,987,524
  5. Step 5: Solve for x
    x = 172,405,987,524/201,231
  6. Step 6: Final answer
    x = 856,756.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.