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Finding the Third Proportional to 447,940 and 699,186

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Solution

The third proportional to 447,940 and 699,186 is: 1,091,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,940 : 699,186 = 699,186 : x
  2. Step 2: Convert to fraction form
    447,940/699,186 = 699,186/x
  3. Step 3: Cross multiply
    447,940x = 699,186 × 699,186
  4. Step 4: Simplify right side
    447,940x = 488,861,062,596
  5. Step 5: Solve for x
    x = 488,861,062,596/447,940
  6. Step 6: Final answer
    x = 1,091,353.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.