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Finding the Third Proportional to 209,322 and 303,769

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Solution

The third proportional to 209,322 and 303,769 is: 440,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,322 : 303,769 = 303,769 : x
  2. Step 2: Convert to fraction form
    209,322/303,769 = 303,769/x
  3. Step 3: Cross multiply
    209,322x = 303,769 × 303,769
  4. Step 4: Simplify right side
    209,322x = 92,275,605,361
  5. Step 5: Solve for x
    x = 92,275,605,361/209,322
  6. Step 6: Final answer
    x = 440,830.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.