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Finding the Third Proportional to 447,960 and 693,684

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Solution

The third proportional to 447,960 and 693,684 is: 1,074,197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,960 : 693,684 = 693,684 : x
  2. Step 2: Convert to fraction form
    447,960/693,684 = 693,684/x
  3. Step 3: Cross multiply
    447,960x = 693,684 × 693,684
  4. Step 4: Simplify right side
    447,960x = 481,197,491,856
  5. Step 5: Solve for x
    x = 481,197,491,856/447,960
  6. Step 6: Final answer
    x = 1,074,197.45

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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.