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Finding the Third Proportional to 218,919 and 472,766

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Solution

The third proportional to 218,919 and 472,766 is: 1,020,960.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,919 : 472,766 = 472,766 : x
  2. Step 2: Convert to fraction form
    218,919/472,766 = 472,766/x
  3. Step 3: Cross multiply
    218,919x = 472,766 × 472,766
  4. Step 4: Simplify right side
    218,919x = 223,507,690,756
  5. Step 5: Solve for x
    x = 223,507,690,756/218,919
  6. Step 6: Final answer
    x = 1,020,960.68

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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.