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Finding the Third Proportional to 218,012 and 470,422

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Solution

The third proportional to 218,012 and 470,422 is: 1,015,067.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,012 : 470,422 = 470,422 : x
  2. Step 2: Convert to fraction form
    218,012/470,422 = 470,422/x
  3. Step 3: Cross multiply
    218,012x = 470,422 × 470,422
  4. Step 4: Simplify right side
    218,012x = 221,296,858,084
  5. Step 5: Solve for x
    x = 221,296,858,084/218,012
  6. Step 6: Final answer
    x = 1,015,067.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.