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Finding the Third Proportional to 218,945 and 471,636

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Solution

The third proportional to 218,945 and 471,636 is: 1,015,965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,945 : 471,636 = 471,636 : x
  2. Step 2: Convert to fraction form
    218,945/471,636 = 471,636/x
  3. Step 3: Cross multiply
    218,945x = 471,636 × 471,636
  4. Step 4: Simplify right side
    218,945x = 222,440,516,496
  5. Step 5: Solve for x
    x = 222,440,516,496/218,945
  6. Step 6: Final answer
    x = 1,015,965.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.