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Finding the Third Proportional to 311,901 and 470,067

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Solution

The third proportional to 311,901 and 470,067 is: 708,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,901 : 470,067 = 470,067 : x
  2. Step 2: Convert to fraction form
    311,901/470,067 = 470,067/x
  3. Step 3: Cross multiply
    311,901x = 470,067 × 470,067
  4. Step 4: Simplify right side
    311,901x = 220,962,984,489
  5. Step 5: Solve for x
    x = 220,962,984,489/311,901
  6. Step 6: Final answer
    x = 708,439.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.