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Finding the Third Proportional to 207,900 and 321,786

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Solution

The third proportional to 207,900 and 321,786 is: 498,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,900 : 321,786 = 321,786 : x
  2. Step 2: Convert to fraction form
    207,900/321,786 = 321,786/x
  3. Step 3: Cross multiply
    207,900x = 321,786 × 321,786
  4. Step 4: Simplify right side
    207,900x = 103,546,229,796
  5. Step 5: Solve for x
    x = 103,546,229,796/207,900
  6. Step 6: Final answer
    x = 498,057.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.