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Finding the Third Proportional to 211,482 and 445,137

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Solution

The third proportional to 211,482 and 445,137 is: 936,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,482 : 445,137 = 445,137 : x
  2. Step 2: Convert to fraction form
    211,482/445,137 = 445,137/x
  3. Step 3: Cross multiply
    211,482x = 445,137 × 445,137
  4. Step 4: Simplify right side
    211,482x = 198,146,948,769
  5. Step 5: Solve for x
    x = 198,146,948,769/211,482
  6. Step 6: Final answer
    x = 936,944.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.