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Finding the Third Proportional to 206,172 and 439,344

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Solution

The third proportional to 206,172 and 439,344 is: 936,223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,172 : 439,344 = 439,344 : x
  2. Step 2: Convert to fraction form
    206,172/439,344 = 439,344/x
  3. Step 3: Cross multiply
    206,172x = 439,344 × 439,344
  4. Step 4: Simplify right side
    206,172x = 193,023,150,336
  5. Step 5: Solve for x
    x = 193,023,150,336/206,172
  6. Step 6: Final answer
    x = 936,223.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.