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Finding the Third Proportional to 218,891 and 471,964

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Solution

The third proportional to 218,891 and 471,964 is: 1,017,629.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,891 : 471,964 = 471,964 : x
  2. Step 2: Convert to fraction form
    218,891/471,964 = 471,964/x
  3. Step 3: Cross multiply
    218,891x = 471,964 × 471,964
  4. Step 4: Simplify right side
    218,891x = 222,750,017,296
  5. Step 5: Solve for x
    x = 222,750,017,296/218,891
  6. Step 6: Final answer
    x = 1,017,629.86

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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.