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Finding the Third Proportional to 207,933 and 478,890

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Solution

The third proportional to 207,933 and 478,890 is: 1,102,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,933 : 478,890 = 478,890 : x
  2. Step 2: Convert to fraction form
    207,933/478,890 = 478,890/x
  3. Step 3: Cross multiply
    207,933x = 478,890 × 478,890
  4. Step 4: Simplify right side
    207,933x = 229,335,632,100
  5. Step 5: Solve for x
    x = 229,335,632,100/207,933
  6. Step 6: Final answer
    x = 1,102,930.43

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.