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Finding the Third Proportional to 211,758 and 454,212

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Solution

The third proportional to 211,758 and 454,212 is: 974,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,758 : 454,212 = 454,212 : x
  2. Step 2: Convert to fraction form
    211,758/454,212 = 454,212/x
  3. Step 3: Cross multiply
    211,758x = 454,212 × 454,212
  4. Step 4: Simplify right side
    211,758x = 206,308,540,944
  5. Step 5: Solve for x
    x = 206,308,540,944/211,758
  6. Step 6: Final answer
    x = 974,265.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.