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Finding the Third Proportional to 211,730 and 454,162

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Solution

The third proportional to 211,730 and 454,162 is: 974,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,730 : 454,162 = 454,162 : x
  2. Step 2: Convert to fraction form
    211,730/454,162 = 454,162/x
  3. Step 3: Cross multiply
    211,730x = 454,162 × 454,162
  4. Step 4: Simplify right side
    211,730x = 206,263,122,244
  5. Step 5: Solve for x
    x = 206,263,122,244/211,730
  6. Step 6: Final answer
    x = 974,179.96

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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.