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Finding the Third Proportional to 207,399 and 436,929

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Solution

The third proportional to 207,399 and 436,929 is: 920,481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,399 : 436,929 = 436,929 : x
  2. Step 2: Convert to fraction form
    207,399/436,929 = 436,929/x
  3. Step 3: Cross multiply
    207,399x = 436,929 × 436,929
  4. Step 4: Simplify right side
    207,399x = 190,906,951,041
  5. Step 5: Solve for x
    x = 190,906,951,041/207,399
  6. Step 6: Final answer
    x = 920,481.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.