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Finding the Third Proportional to 218,821 and 471,121

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Solution

The third proportional to 218,821 and 471,121 is: 1,014,322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,821 : 471,121 = 471,121 : x
  2. Step 2: Convert to fraction form
    218,821/471,121 = 471,121/x
  3. Step 3: Cross multiply
    218,821x = 471,121 × 471,121
  4. Step 4: Simplify right side
    218,821x = 221,954,996,641
  5. Step 5: Solve for x
    x = 221,954,996,641/218,821
  6. Step 6: Final answer
    x = 1,014,322.19

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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.