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Finding the Third Proportional to 218,709 and 445,194

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Solution

The third proportional to 218,709 and 445,194 is: 906,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,709 : 445,194 = 445,194 : x
  2. Step 2: Convert to fraction form
    218,709/445,194 = 445,194/x
  3. Step 3: Cross multiply
    218,709x = 445,194 × 445,194
  4. Step 4: Simplify right side
    218,709x = 198,197,697,636
  5. Step 5: Solve for x
    x = 198,197,697,636/218,709
  6. Step 6: Final answer
    x = 906,216.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.