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Finding the Third Proportional to 422,626 and 864,686

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Solution

The third proportional to 422,626 and 864,686 is: 1,769,133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,626 : 864,686 = 864,686 : x
  2. Step 2: Convert to fraction form
    422,626/864,686 = 864,686/x
  3. Step 3: Cross multiply
    422,626x = 864,686 × 864,686
  4. Step 4: Simplify right side
    422,626x = 747,681,878,596
  5. Step 5: Solve for x
    x = 747,681,878,596/422,626
  6. Step 6: Final answer
    x = 1,769,133.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.