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Finding the Third Proportional to 100,764 and 211,866

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Solution

The third proportional to 100,764 and 211,866 is: 445,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,764 : 211,866 = 211,866 : x
  2. Step 2: Convert to fraction form
    100,764/211,866 = 211,866/x
  3. Step 3: Cross multiply
    100,764x = 211,866 × 211,866
  4. Step 4: Simplify right side
    100,764x = 44,887,201,956
  5. Step 5: Solve for x
    x = 44,887,201,956/100,764
  6. Step 6: Final answer
    x = 445,468.64

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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.